This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Wasan, M.T.: Stochastic approximation, Cambridge Univ. Press, 1969.
Nevel’son, M.B. and Khas’minskiĭ, R.Z.: Stochastic approximation and recursive estimation, Amer. Math. Soc, 1976 (translated from the Russian).
Tsypkin, Ya.Z.: Adaption and learning in automatic systems, Acad. Press, 1973 (translated from the Russian).
Tsypkin, Ya.Z.: Foundations of the theory of learning systems, Acad. Press, 1973 (translated from the Russian).
Kushner, H.J. and Clark, D.S.: Stochastic approximation methods for constrained and unconstrained systems, Springer, 1978.
L.: ‘Analysis of recursive stochastic algorithms’, IEEE Trans. Autom. Control AC-22 (1977), 551–575.
Prokhorov, Yu.V. and Rozanov, Yu.A.: Probability theory, Springer, 1979 (translated from the Russian).
Itô, K. and Watanabe, S.: ‘Introduction to stochastic differential equations’, in K. Itô (ed.): Proc. Int. Symp. Stochastic Differential Equations Kyoto, 1976, Wiley, 1978, pp. I-XXX.
Gikhman, I.I. and Skorokhod, A.V.: Stochastic differential equations and their applications, Kiev, 1982 (in Russian).
Elworthy, K.D.: Stochastic differential equations on manifolds, Cambridge Univ. Press, 1982.
Grauert, H. and Remmert, R.: Theory of Stein spaces, Springer, 1979 (translated from the German)., N. and Watanabe, S.: Stochastic differential equations and diffusion processes, North-Holland, 1989, p. 97ff.
Meyer, P.A.: ‘Geometrie stochastiques sans larmes’, in J. Azéma and M. Yor (eds.): Sem. Probab. Strassbourg XV, Lecture Notes in Math., Vol. 850, Springer, 1981, pp. 44–102.
Karatzas, I. and Shreve, S.E.: Brownian motion and stochastic calculus, Springer, 1988.
Rogers, L.C.G. and Williams, D.: Diffusion, Markov processes, and martingales, 2. Itô calculus, Wiley, 1987.
Albeverio, S., Fenstad, J.E., Høegh-Krohn, R. and Lindstrom, T.: Nonstandard methods in stochastic analysis and mathematical physics, Acad. Press, 1986.
Gikhman, I.I. and Skorokhod, A.V.: Stochastic differential equations and their applications. Springer, 1972 (translated from the Russian).
Liptser, R.Sh. and Shiryaev, A.N.: Statistic of random processes, 1–2, Springer, 1977–1978 (translated from the Rus-
Arnold, L.: Stochastic differential equations, Wiley, 1974 (translated from the Russian).
Bunke, H.: Gewöhnliche Differentialgleichungen mit zufällige Parametern, Akademie Verlag, 1972.
Freedman, A.: Stochastic differential equations and applications, 1, Acad. Press, 1975.
Hasminski, R.Z. [R.Z. Khasmins’kiI]: Stochastic stability of differential equations, Sijthoff & Noordhoff, 1980 (translated from the Russian).
Ikeda, N. and Watanabe, S.: Stochastic differential equations and diffusion processes, North-Holland, 1981.
Soong, T.T.: Random differential equations in science and engineering, Acad. Press, 1973.
Srinivasan, S.K. and Vasudevan, R.: Introduction to random differential equations and their applications, Amer. Elsevier, 1971.
Stratonovich, R.L.: Topics in the theory of random noise, 1–2, Gordon & Breach, 1963–1967.
Stroock, D.W. and Varadhan, S.R.S.: Multidimensional diffusion processes, Springer, 1979.
Gard, Th.: Introduction to stochastic differential equations, M. Dekker, 1988.
Øksendahl, B.: Stochastic differential equations, Springer, 1987.
Protter, P.: Stochastic integration and differential equations, Springer, 1990.
Albeverio, S. and Röckner, M.: ‘Stochastic differential equations in infinite dimensions: solutions via Dirichlet forms’, Probab. Th. Rel. Fields 89 (1991), 347–386.
Elworthy, K.D.: Stochastic differential equations on manifolds, Cambridge Univ. Press, 1982.
Emery, M.: Stochastic calculus in manifolds, Springer, 1989. (Appendix by P.A. Meyer.).
Sobczyk, K.: Stochastic differential equations. With applications to physics and engineering, Kluwer, 1991.
Doob, J.L.: Classical potential theory and its probabilistic counterpart, Springer, 1984, p. 390.
Gihman, I.I. [I.I. Gikhman] and Skorohod, A.V. [A.V. Skorokhod]: The theory of stochastic processes, 1, Springer, 1974, p. 43ff (translated from the Russian).
Dellacherie, C.: Capacités et processus stochastiques, Springer, 1972, p. 46.
Skorohod, A.V. [A.V. Skorokhod]: Random processes with independent increments, Kluwer, 1991, p. 9 (translated from the Russian).
Liptser, R.Sh. and Shiryayev, A.N.: Theory of martingales, Kluwer, 1989, p. 4 (translated from the Russian).
Shapley, L.S.: ‘Stochastic games’, Proc. Nat. Acad. Sci. 39 (1953), 1095–1100.
Gillette, D.: ‘Stochastic games with zero stop probabilities’, in Contributions to the Theory of Games, Vol. 3, Princeton Univ. Press, 1957, pp. 179–187.
Parthasarathy, T. and Stern, M.: ‘Markov games: A survey’, in E. Roxin, P. Liers and R. Sternberg (eds.): Differential Games and Control Theory, M. Dekker, 1977, pp. 1–46.
Vrieze, K.: ‘Zero-sum stochastic games’, in Surveys in Game Theory and Related Topics, Tracts, Vol. 39, CWI, 1987, pp. 103–132.
Domanskiĭ, V.K.: Kibernetik 1 (1988), 26–49.
Bewley, T. and Kohlberg, E.: The asymptotic theory of stochastic games’, Math. Oper. Res. 1 (1976), 197–208.
Mertens, J.F. and Neyman, A.: ‘Stochastic games have a value’, Proc. Nat. Acad. Sci. 79 (1982), 2145–2146.
Raghavan, T.E.S., Ferguson, T.S., Parthasarathy, T. and Vrieze, O.J. (eds.): Stochastic games and related topics (in honour of L.S. Shapley), Kluwer, 1991.
Matheron, J.: Random sets and integral geometry, Wiley, 1975.
Harding, E.F. and Kendall, D.G.: Stochastic geometry, Wiley, 1974.
Ambartzumian, R.V. [R.V. Ambartsumyan]: Combinatorial integral geometry, Wiley, 1982.
Ripley, B.D.: Spatial statistics, Wiley, 1981.
Mandelbrot, B.B.: Fractals: form, chance and dimension, Freeman, 1977.
Serra, J.: Image analysis and mathematical morphology, Acad. Press, 1988.
Ambartzumian, R.V. [R.V. Ambartsumyan]: Factorization calculus and geometric probability, Cambridge Univ. Press, 1989 (translated from the Russian).
Ambartzumian, R.V. [R.V. Ambartsumyan] (ed.): Stochastic and integral geometry, Reidel, 1987.
Mecke, J., Schneider, R., Stoyan, D. and Weil, W.: Stochastische Geometrie, DMV Sem., 16, Birkhäuser, 1990.
Stoyan, D., Kendall, W.S. and Mecke, J.: Stochastic geometry and its applications, Wiley, 1987.
Santalö, L.: Integral geometry and geometric probability, Addison-Wesley, 1976.
Dellacherie, C.: Capacités et processus stochastiques, Springer, 1972.
Dellacherie, C. and Meyer, P.A.: Probabilities and potential, A, North-Holland, 1978 (translated from the French).
Jacod, J.: Calcul stochastique et problèmes de martingales. Lecture notes in math., 714, Springer, 1979.
Dellacherie, C. and Meyer, P.: Probabilities and potential, AC, North-Holland, 1978–1988 (translated from the French).
Liptser, R.Sh. and Shiryaev, A.N.: Theory of martingales, Kluwer, 1989 (translated from the Russian).
Bichteler, K.: ‘Stochastic integrators’, Bull. Amer. Math. Soc. 1 (1979), 761–765.
Bichteler, K.: ‘Stochastic integrators and the L theory of semimartingales’, Ann. Probab. 9 (1981), 49–89.
Dellacherie, C.: ‘Un survol de la théorie de l’intégrale stochastique’, Stoch. Proc. & Appl. 10 (1980), 115–144.
Protter, P.: Stochastic integration and differential equations, Springer, 1990.
Chung, K.L. and Williams, R.J.: Introduction to stochastic integration, Birkhäuser, 1990.
Elliott, R.J.: Stochastic calculus and applications, Springer, 1982.
Karatzas, I. and Shreve, S.E.: Brownian motion and stochastic calculus, Springer, 1988.
Rogers, L.C.G. and Williams, D.: Diffusions, Markov processes and martingales, II. Ito calculus, Wiley, 1987.
McKean, H.P., jr.: Stochastic integrals, Acad. Press, 1969.
Metivier, M. and Pellaumail, J.: Stochastic integration, Acad. Press, 1980.
McShane, E.J.: Stochastic calculus and stochastic models, Acad. Press, 1974.
Rao, M.M.: Stochastic processes and integration, Sijthoff & Noordhoff, 1979.
Stroock, D.W. and Varadhan, S.R.S.: Multidimensional diffusion processes, Springer, 1979.
Kopp, P.E.: Martingales and stochastic integrals, Cambridge Univ. Press, 1984.
Fukushima, M.: Dirichlet forms and Markov processes, North-Holland, 1980.
Albeverio, S., Fenstad, J.E., Høegh-Krohn, R. and Lindstrø, T.: Nonstandard methods in stochastic analysis and mathematical physics, Acad. Press, 1986.
Dellacherie, C.: Capacités et processus stochastiques. Springer. 1972.
Gantmakher, F.R.: The theory of matrices, Chelsea, reprint, 1977 (translated from the Russian).
Bellman, R.: Introduction to matrix analysis, McGraw-Hill, 1960.
Marcus, M. and Minc, H.: A survey of matrix theory and matrix inequalities, Allyn & Bacon, 1964.
Karpelevich, F.I.: ‘On the characteristic roots of matrices with non-negative entries’, Izv. Akad. Nauk SSSR Ser. Mat. 15 (1951), 361–383 (in Russian).
Sinkhorn, R. and Knopp, P.: ‘Concerning nonnegative matrices and doubly stochastic matrices’, Pacific J. Math. 21 (1967), 343–348.
Brualdi, R.A., Parter, S.V. and Schneider, H.: The diagonal equivalence of a nonnegative matrix to a stochastic matrix’, J. Math. Anal. Appl. 16 (1966), 31–50.
Fienberg, S.: An iterative procedure for estimation in contingency tables’, Ann. Math. Stat. 41 (1970), 907–917.
Krupp, R.S.: ‘Properties of Kruithof’s projection method’, Bell Systems Techn. J. 58 (1979), 517–538.
Csiszàr, I.: ‘I-divergence geometry of probability distributions and minimization problems’, Ann. Probab. 3 (1975), 146–158.
Nussbaum, R.D.: ‘Iterated nonlinear maps and Hubert’s projective method II’, Memoirs Amer. Math. Soc. 401 (1989).
Neuts, M.F.: Structured stochastic matrices of M /G/1 type and their applications, M. Dekker, 1989.
Seneta, E.: Non-negative matrices and Markov chains, Springer, 1981.
Bakhvalov, N.S.: Numerical methods: analysis, algebra, ordinary differential equations, Mir, 1977 (translated from the Russian).
Ermakov, S.M.: Die Monte-Carlo Methode und verwandte Fragen, Deutsch. Verlag Wissenschaft., 1975 (translated from the Russian).
Sobol’, I.M.: Numerical Monte-Carlo methods, Moscow, 1973 (in Russian).
Mikhaïlov, G.A.: Some questions in the theory of Monte-Carlo methods, Novosibirsk, 1971 (in Russian).
Rastrigin, L.A.: Statistical search methods, Moscow, 1968 (in Russian.)
Ljung, L. and Söderström, T.: Theory and practice of recursive identification, MIT, 1983.
Robbins, H. and Monro, S.: ‘A stochastic approximation method’, Ann. Math. Studies 22 (1951), 400–407.
Laarhoven, P.J.M. van: Theoretical and computational aspects of similated annealing, CWI Tract, 51, CWI, Amsterdam, 1988.
Zhigljavsky, A.A. [A.A. ZhiglyavskiT]: Theory of global random search, Kluwer, 1991 (translated from the Russian).
Laarhoven, P.J.M. van and Aarts, E.H.: Simulated annealing: theory and practice, Reidel, 1987.
Blumenthal, R.M. and Getoor, R.K.: Markov processes and potential theory, Acad. Press, 1968.
Ermakov, S.M., Nekrutin, V.V. and Sipin, A.S.: Random processes for the classical equations of mathematical physics, Kluwer, 1989 (translated from the Russian).
Khinchin, A.Ya.: Mathematical methods in the theory of queueing, Griffin, 1960 (translated from the Russian).
Cox, D.R. and Isham, V.: Point processes, Chapman & Hall, 1980.
Kerstan, J., Matthes, K. and Mecke, J.: Infinitely divisible point processes, Wiley, 1978 (translated from the German).
Belyaev, Yu.K.: Elements of the general theory of point processes. Appendix to Russian translation of: H. Cramér, M. Leadbetter, Stationary and related stochastic processes, Wiley, 1967.
Liptser, R.S. and Shiryayev, A.N.: Statistics of random processes II. Applications, Springer, 1978 (translated from the Russian).
Jacobson, M.: Statistical analysis of counting processes, Lecture notes in statistics, 12, Springer, 1982.
Borovkov, A.A.: Stochastic processes in queueing theory, Springer, 1976 (translated from the Russian).
Lewis, P.A.W. (ed.): Stochastic point processes: statistical analysis theory and applications, Wiley-lnterscience, 1972.
Murthy, V.K.: The general point process, Addison-Wesley, 1974.
Snyder, D.C.: Random point processes, Wiley, 1975.
Daley, D.J. and Vere-Jones, D.: An introduction to the theory of point processes, Springer, 1978.
Baccelli, F. and Brémaud, P.: Palm probabilities and stationary queues, Lecture notes in statistics, 41, Springer, 1987.
Brémaud, P.: Point processes and queues, Springer, 1981.
Neveu, J.: ‘Processus ponctuels’, in J. Hoffmann-Jørgensen, T.M. Liggett and J. Neveu (eds.): Ecole d’été de St. Flour VI 1976, Lecture notes in math., Vol. 598, Springer, 1977, pp. 250–448.
Kallenberg, O.: Random measures, Akademie Verlag & Acad. Press, 1986.
Grandell, J.: Doubly stochastic Poisson processes, Springer, 1976.
Bauer, H.: Probability theory and elements of measure theory, Holt, Rinehart & Winston, 1972 (translated from the German).
Bourbaki, N.: Intégration, Eléments de mathématique, Hermann, 1967, Chapt. 5: Intégration des mesures, §6.6.
Bourbaki, N.4: Intégration, Eléments de mathématique, Hermann, 1959, Chapt. 6: Intégration vectorielle, §3.
Slutskiĭ, E.E.: Selected works, Moscow, 1980, pp. 269–280 (in Russian).
Doob, J.: Stochastic processes, Wiley, 1953.
Gikhman, I.I. and Skorokhod, A.V.: Introduction to the theory of stochastic processes, Saunders, 1967 (translated from the Russian).
Gikhman, I.I. and Skorokhod, A.V.: Theory of stochastic-processes, 1–3, Springer, 1974–1979 (translated from the Russian).
Cramer, H. and Leadbetter, M.R.: Stationary and related stochastic processes, Wiley, 1967.
Wentzell, A.D. [A.D. Ventsel’]: A course in the theory of stochastic processes, McGraw-Hill, 1981 (translated from the Russian).
Tozanov, Yu.A.: Stochastic processes, 1–2, Moscow, 1960–1963 (in Russian).
Skorohod, A.V.: Random processes with independent increments, Kluwer, 1991 (translated from the Russian).
Dynkin, E.B.: Markov processes, 1–2, Springer, 1965 (translated from the Russian).
Ibragimov, I.A. and Rozanov, Yu.A.: Gaussian stochastic processes, Springer, 1978 (translated from the Russian).
Rozanov, Yu.A.: Stationary stochastic processes, Holden-Day, 1967 (translated from the Russian).
Bailey, N.T.J.: The elements of stochastic processes, Wiley, 1964.
Chung, K.L.: Lectures from Markov processes to Brownian motion, Springer, 1982.
Cox, D.R. and Miller, H.D.: The theory of stochastic processes, Methuen, 1965.
Iranpour, R. and Chacon, P.: Basic stochastic processes, The Mark Kac lectures, MacMillan, 1988.
Kampen, N.G. van: Stochastic processes in physics and chemistry, North-Holland, 1981.
Levy, P.: Processus stochastiques et mouvement Brownien, Gauthier-Villars, 1965.
Parzen, E.: Stochastic processes, Holden-Day, 1967.
Rosenblatt, M.: Random processes, Springer, 1974.
Wax, N. (ed.): Selected papers on noise and stochastic processes, Dover, reprint, 1954.
Wong, E.: Stochastic processes in information and dynamical systems, McGraw-Hill, 1971.
Ethier, K.: Markov processes, Wiley, 1986.
Durrett, R.: Brownian motion and martingales in analysis, Wadsworth, 1984.
Dellacherie, C.: Capacités et processus stochastiques, Springer, 1972.
Gikhman, I.I. and Skorokhod, A.V.: Introduction to the theory of stochastic processes, Saunders, 1967 (translated from the Russian).
Gel’fand, I.M. and Vilenkin, N.Ya.: Generalized functions. Applications of harmonic analysis, 4, Acad. Press, 1964 (translated from the Russian).
Kolmogorov, A.N.: ‘Interpolation and extrapolation of stationary random sequences’, Rand Coorp. Memorandum RM* 3090-PR (April 1962). (Izv. Akad. Nauk. SSSR Ser. Mat. 5 (1941), 3–14)
Shiryaev, A.N.: ‘Stochastic equations of nonlinear filtering of Markovian jumps’, Probl. of Inform. Transmission 2, no. 3 (1966), 1–18. (Probl. Pered. Inform. 2, no. 3 (1966), 3–22)
Kailath, T.: ‘A view of three decades of linear filtering theory’, IEEE Trans. Inform. Theory 20, no. 2 (1974), 146–181.
Rozanov, Yu.A.: Innovation processes, Wiley, 1977 (translated from the Russian).
Shiryaev, A.N.: ‘Reduction of data with saving of information and innovation processes’, in Trans. School-Seminar Theory of Stochastic Processes (Druskininka, 1974), Vol. 2, Vilnyus, 1975, pp. 235–267 (in Russian).
Liptser, R.S. and Shiryaev, A.N.: Statistics of stochastic processes, 1, Springer, 1977 (translated from the Russian).
Rozanov, Yu.A.: Innovation processes, Winston, 1977 (translated from the Russian).
Oikhman, I.I. and Skorokhod, A.V.: The theory of stochastic processes, 2, Springer, 1975 (translated from the Russian).
Skorokhod, A.V.: Random processes with independent increments, Kluwer, 1991 (translated from the Russian).
Box, G. and Jenkins, G.: Time series analysis, forecasting and control, Holden-Day, 1970.
Nelson, C.R.: Applied time series analysis for managerial forecasting, Holden-Day, 1973.
Anderson, O.D.: Time series analysis and forecasting. The Box—Jenkins approach, Butterworths, 1976.
Robinson, E.A. and Silva, M.T.: Digital foundations of time series analysis: The Box—Jenkins approach, Holden-Day, 1979.
Kolmogorov, A.N.: ‘Kurven im Hilbertschen Raum, die gegenüber einer einparametrigen Gruppe von Bewegungen invariant sind’, Dokl. Akad. Nauk SSSR 26, no. 1 (1940), 6–9.
Doob, J.L.: Stochastic processes, Wiley, 1953.
Yaglom, A.M.: ‘Correlation theory of processes with stationary random increments of order n’, Transl. Amer. Math. Soc. (2) 8 (1958), 87–141. (Mat. Sb. 37 (1955), 141–196)
Pinsker, M.S.: ‘Theory of curves in Hilbert space with stationary increments of order n’, Izv. Akad. Nauk SSSR Ser. Mat. 19 (1955), 319–345 (in Russian).
Itô, K.: ‘Stationary random distributions’, Mem. Coll. Sci. Univ. Kyoto (A) 28 (1954), 209–223.
Rozanov, Yu.A.: Stationary random processes, Holden-Day, 1967 (translated from the Russian).
Liptser, R.S. and Shiryaev, A.N.: Statistics of stochastic processes, 1–2, Springer, 1977–1978 (translated from the Russian).
Ibragimov, I.A. and Rozanov, Yu.A.: Gaussian stochastic processes, Springer, 1978 (translated from the Russian).
Beneš, V.E.: ‘Exact finite-dimensional filters for certain diffusion with nonlinear drift’, Stochastics 5 (1981), 65–92.
Brémaud, P.: Point processes and queues — Martingale dynamics, Springer, 1981.
Brockett, R.W. and Clark, J.M.C.: The geometry of the conditional density equation’, in O.L.R. Jacobs, M.H.A. Davis, M.A.H. Dempster, C.J. Harris and P.C. Parks (eds.): Analysis and Optimization of Stochastic Systems, Acad. Press, 1980, pp. 299–309.
Fujisaki, M., Kallianpur, G. and Kunita, H.: ‘Stochastic differential equations for the nonlinear filtering problem’, Osaka J. Math. 9 (1972), 19–40.
Jazwinski, A.H.: Stochastic processes and filtering theory, Acad. Press, 1970.
Kallianpur, G. and Striebel, C.: ‘Estimation of stochastic systems: Arbitrary system processes with additive white noise observation errors’, Ann. Math. Statist. 39 (1968), 785–801.
Kalman, R.E.: ‘A new approach to linear filtering and prediction problems’, J. Basic Eng., Trans. ASME, Series D. 82, no. 1 (March 1960), 35–45.
Kalman, R.E. and Bucy, R.S.: ‘New results in linear filtering and prediction theory’, J. Basic Eng., Trans. ASME, Series D 83(1961), 95–108.
Kushner, H.J.: ‘Dynamical equations for optimal nonlinear filtering’, J. Diff. Equations 3 (1967), 179–190.
Marcus, S.I.: ‘Algebraic and geometric methods in nonlinear filtering’, SIAM J. Control Optim. 22 (1984), 814–844.
Maybeck, P.S.: Stochastic models, estimation and control, 1–3, Acad. Press, 1979–1982.
Mortensen, R.E.: Optimal control of continuous time stochastic systems, Doctoral Diss. Dept. Elect. Engin. Univ. California, 1966.
Pardoux, E.: ‘Stochastic partial differential equations and filtering of diffusion processes’, Stochastics 3 (1979), 127–167.
Segall, A., Davis, M.H.A. and Kailath, T.: ‘Nonlinear filtering with counting observations’, IEEE Trans. Inform. Theory 21 (1975), 143–149.
Snyder, D.L.: Random point processes, Wiley, 1975.
Stratonovitch, R.L.: ‘Conditional Markov processes’, Theor. Probab. Appl. 5 (1960), 156–178.
Schuppen, J.H. van: ‘Filtering prediction and smoothing for counting process observations, a martingale approach’, SIAM J. Appl. Math. 32 (1977), 552–570.
Wiener, N.: Extrapolation, interpolation and smoothing of stationary time series: with engineering applications, M.I.T., 1949.
Zakai, M.: ‘On the optimal filtering of diffusion processes’, Z Wahrscheinlichkeitstheorie verw. Gebiete 11 (1969), 230–243.
Kolmogorov, A.N.: ‘Interpolation and extrapolation of stationary random sequences’, Byull. Akad. Nauk. SSSR Ser. Mat. 5 (1941), 3–14 (in Russian).
Kailath, T.: Lectures on Wiener and Kalman filtering, Springer, 1981.
Willems, J.C.: ‘Recursive filtering’, Statistica Neerlandica 32, no. 1 (1978), 1–39.
Bismut, J.M. and Michel, D.: ‘Diffusions conditioners I’, Fund Anal. 44 (1981), 174–211.
Bismut, J.M. and Michel, D.: ‘Diffusions conditioners II’, Funct. Anal. 45 (1982), 274–292.
Hazewinkel, M. and Willems, J.C.: Stochastic systems: the mathematical theory of filtering and identification and applications, Reidel, 1981.
Kallianpur, G.: Stochastic filtering theory, Springer, 1978.
Kolmogorov, A.N.: ‘Stationary sequences in Hubert space’, Byull. Moskov. Gos. Univ. Sekt. A 2, no. 6 (1941), 1–40 (in Russian).
Rozanov, Yu.A.: Stationary stochastic processes, Holden-Day, 1967 (translated from the Russian).
Liptser, R.S. and Shiryaev, A.N.: Statistics of stochastic processes, 1–2, Springer, 1977–1978 (translated from the Rus-
Dym, H. and McKean, H.P.: Gaussian processes, function theory, and the inverse spectral problem, Acad. Press, 1976.
Pardoux, E.: ‘Equations du filtrage nonlinéaire, de la prédiction et du lissage’, Stochastics 6 (1982), 193–231.
Pavon, M.: ‘New results on the interpolation problem for continuous-time stationary increment processes’, SIAM J. Control Optlm. 22 (1984), 133–142.
Pavon, M.: ‘Optimal interpolation for linear stochastic systems’, SIAM J. Control Optim. 22 (1984), 618–629.
Wiener, K.: Extrapolation, interpolation, and smoothing of stationary time series: with engineering applications, M.I.T., 1949.
Yaglom, A.M.: ‘Extrapolation, interpolation and filtration of stationary random processes with rational spectral density’, Amer. Math. Soc. Sel. Transi. Math. Statist. 4 (1963), 345–387. Jr. Moskov. Mat. Obshch. 4 (1955), 333–374)
Yaglom, A.M.: An introduction to the theory of stationary random functions, Prentice-Hall, 1962 (translated from the Russian).
Box, G.E.P. and Jenkins, G.M.: Time series analysis, forecasting and control, Holden-Day, 1976.
Hannan, E.J.: Multiple time series, Wiley, 1970.
Kalman, R.E.: ‘A new approach to linear filtering and prediction problems’, J. Basic Eng., Trans. ASME, Series D 82, no. 1 (March 1960), 35–45.
Kalman, R.E. and Bucy, R.S.: ‘New results in linear filtering and prediction theory’, J. Basic Eng., Trans. ASME, Series D 83(1961), 95–108.
Pardoux, E.: ‘Equations du filtrage nonlinéaire, de la prédiction et du lissage’, Stochastics 6 (1982), 193–231.
Wiener, N.: Extrapolation, interpolation and smoothing of stationary time series: with engineering applications, M.I.T., 1949.
Kolmogorov, A.N.: ‘Stationary sequences in Hilbert space’, Byull. Moskov. Gos. Univ. Sect. A 2, no. 6 (1941), 1–40 (in Russian).
Kolmogorov, A.N.: ‘Interpolation und Extrapolation von stationären zufalligen Folgen’, Izv. Akad. Nauk. SSSR 5 (1941), 3–14.
Kreǐn, M.G.: ‘On a fundamental approximation problem in the theory of extrapolation and filtration of stationary random processes’, Amer. Math. Soc. Sel. Transi. Math. Statist. 4 (1964), 127–131. (Dokl. Akad. Nauk. SSSR 94 (1954), 13–16)
Dym, H. and McKean, H.P.: Gaussian processes, function theory and the inverse spectral problem, Acad. Press, 1976.
Wiener, N. and Masani, P.: ‘The prediction theory of multivariate stochastic processes I’, Acta Math. 98 (1957), 111–150.
Wiener, N. and Masani, P.: The prediction theory of multivariate stochastic processes IT, Acta Math. 99 (1958), 93–137.
Rissanen, J. and Barbosa, L.: ‘A factorization problem and the problem of predicting non-stationary vector-valued random processes’, Z Wahrscheinlichkeitstheorie verw. Geb. 12 (1969), 255–266.
Yudin, D.B.: Mathematical methods of control in conditions of incomplete information, Moscow, 1974 (in Russian).
Dynkin, E.B. and Yushkevich, A.A.: Controlled Markov processess Springer, 1979 (translated from the Russian).
Ermol’ev, Yu.M.: Methods of stochastic programming, Moscow, 1976 (in Russian).
Arkin, V.I. and Evstigneev, I.V.: Stochastic models of control and economic dynamics, Acad. Press, 1987 (translated from the Russian).
Yudin, D.B.: Problems and methods of stochastic programming, Moscow, 1979 (in Russian).
Yudin, D.B. and Yudin, A.D.: Extremal models in economics, Moscow, 1979 (in Russian).
Wets, R.J.-B.: ‘Stochastic programming: solution techniques and approximation schemes’, in A. Bachern and B. Korte (eds.): Mathematical Programming — The State of the Art, Springer, 1983, pp. 566–603.
Vajda, S.: Probabilistic programming, Acad. Press, 1972.
Arnol’d, V.I.: Mathematical methods of classical mechanics, Springer, 1978 (translated from the Russian).
Spivak, M.: Calculus on manifolds, Benjamin, 1965.
Choquet-Bruhat, Y., deWitt-Morette, C. and Dillard-Bleick, M.: Analysis, manifolds, physics, North-Holland, 1977, p. 205 (translated from the French).
Triebel, H.: Analysis and mathematical physics, Reidel, 1986, p. 375.
Stokes, G.G.: Trans. Cambridge Philos. Soc. 10 (1864), 106–128.
Heading, J.: An introduction to phase-integral methods, Methuen, 1962.
Bruijn, N.G. de: Asymptotic methods in analysis, Dover, reprint, 1981.
Berry, M.V.: ‘Uniform asymptotic smoothing of Stokes’ discontinuities’, Proc. R. Soc. London A 422 (1989), 7–21.
Wong, R. (ed.): ‘On Stokes’s phenomenon and converging factors’, in Proc. Int. Symp. Asymptotic and Computational Anal. (Winnipeg, Manitoba), M. Dekker, 1990.
Apostol, T.: Calculus, 1–2, Blaisdell, 1964.
Čech, E.: ‘On bicompact spaces’, Ann. of Math. 38 (1937), 823–844.
Stone, M.H.: ‘Applications of the theory of Boolean rings to general topology’, Trans. Amer. Soc. 41 (1937), 375–481.
Engelking, R.: Outline of general topology, North-Holland, 1968 (translated from the Polish).
Aleksandrov, P.S.: ‘Some results in the theory of topological spaces, obtained within the last twenty-five years’, Russian Math. Surveys 15, no. 2 (1960), 23–83. (Uspekhi Mat. Nauk 15,
Engelking, R.: General topology, Heldermann, 1989.
Gillman, L. and Jerison, M.: Rings of continuous functions, Springer, 1976.
Porter, J. and Woods, R.G.: Extensions and absolutes of Hausdorff spaces, Springer, 1988.
Walker, R.C.: The Stone— Cech compactification, Springer, 1974.
Birkhoff, G.: Lattice theory, Colloq. Publ., 25, Amer. Math. Soc, 1973.
Chen, C.C. and Grätzer, G.: ‘Stone lattices I–IF’, Canad. J. Math. 21, no. 4 (1969), 884–903.
Grätzer, G. and Schmidt, E.T.: ‘On a problem of M.H. Stone’, Acta Math. Acad. Sci. Hung. 8, no. 3–4 (1957), 455–460.
Fofanova, T.S.: ‘General theory of lattices’, in Ordered Sets and Lattices, Saratov, Vol. 3, 1975, pp. 22–40 (in Russian).
Stone, M.H.: ‘Algebraic characterization of special Boolean rings’, Fund. Math. 29 (1937), 223–303.
Grätzer, G.: General lattice theory, Birkhäuser, 1978.
Sikorski, R.: Boolean algebras, Springer, 1969.
Johnstone, P.T.: Stone spaces, Cambridge Univ. Press, 1982.
Koppelberg, S.: ‘General theory of Boolean algebras’, in J.D. Monk and R. Bonnet (eds.): Handbook of Boolean Algebras, Vol. 3, North-Holland, 1989.
Monk, J.D. and Bonnet, R. (eds.): Handbook of Boolean algebras, 1–3, North-Holland, 1989.
Cheney, E.W.: Introduction to approximation theory, Chelsea, reprint, 1982.
Schönhage, A.: Approximationstheorie, De Gruyter, 1971.
Stone, M.H.: ‘The generalized Weierstrass approximation theorem’, Math. Mag. 21 (1948), 167–183; 237–254.
Stone, M.H.: A generalized Weierstrass approximation theorem’, in R.C. Buck (ed.): Studies in Modern Analysis, Vol. 1, Math. Assoc. Amer., 1962, pp. 30–87.
Stone, M.H.: Applications of the theory of Boolean rings to general topology’, Trans. Amer. Math. Soc. 41 (1937), 375–481.
Baver, H.: Probability theory and elements of measure theory, Holt, Rinehart & Winston, 1972, p. 332.
Lamperti, J.: Stochastic processes, Springer, 1977, pp. 210–213.
Chung, K.L.: Elementary probability theory with stochastic processes, Springer, 1974, p. 269.
Gihman, I.I. [I.I. Gikhman] and Skorohod, A.V. [A.V. Skorokhod]: Controlled stochastic processes, Springer, 1979 (translated from the Russian).
Rao, M.M.: Stochastic processes and integration, Sijthoff & Noordhoff, 1979.
Bakhvalov, N.S.: Numerical methods: analysis, algebra, ordinary differential equations, Mir, 1977 (translated from the Russian).
Lambert, J.D.: Computational methods in ordinary differential equations, Wiley, 1973.
Mikhlin, S.G. and Smolitski, Kh.L.: Approximate methods for solution of differential and integral equations, Amer. Elsevier, 1967 (translated from the Russian).
Hildebrand, F.B.: Introduction to numerical analysis, Dover, reprint, 1987, p. 275ff.
Störmer, C.: ‘Méthode d’intégration numérique des équations différentielles ordinaires’, in C.R. Congress Internat. Strassbourg 1920, 1921, pp. 243–257.
Jacobs, H.R.: Geometry, Freeman, 1974.
Marsden, J. and McCracken, M.: The Hopf bifurcation and its applications, Springer, 1976.
Hénon, M.: ‘A two-dimensional mapping with a strange attractor’, Comm. Math. Phys. 50 (1976), 69–77.
Lozi, R.: ‘Un attracteur étrange du type attracteur de Hénon’, J. de Physique Ser. C 39, no. 5 (1978), 9–10.
Benedicks, M. and Carleson, Z.: ‘On iterations of 1 — ax 2 on (-1, 1)’, Ann. of Math. 122 (1985), 1–25.
Benedicks, M. and Carleson, Z.: ‘The dynamics of the Hénon map’, Preprint (1989).
Mora, L. and Viana, M.: ‘Abundance of strange attractors’. Preprint IMPA Rio de Janeiro (1990).
Arnol’d, V.I., et al.: Theory? of bifurcations, Encycl. Math. Sc, 5. Dynamical systems, Springer, Forthcoming (translated from the Russian).
Shilnikov, Z.P.: ‘Theory of bifurcations and quasihyperbolic attractors’, Uspekhi Mat. Nauk 36, no. 4 (1981), 240–241 (in Russian).
Shilnikov, A.Z.: ‘Bifurcation and chaos in the Marioka —Shimizu system’, in Methods of the Qualitative Theory of Differential Eqs., Gorki! State Univ., 1986, pp. 180–193 (in Russian).
Shilnikov, A.Z.: ‘Bifurcation and chaos in the Marioka —Shimizu system II’, in Methods of the Qualitative Theory and the Theory of Bifurcations, Gorkiǐ State Univ., 1989, pp. 130–138 (in Russian).
Milnor, J.W.: ‘On the concept of attractor’, Comm. Math. Phys. 99 (1985), 177–195.
Ruelle, D. and Takens, F.: ‘On the nature of turbulence’, Comm. Math. Phys. 20 (1971), 167–192.
Newhouse, S., Ruelle, D. and Takens, F.: ‘Occurrence of strange axiom A attractors near quasipenodic flows on T m m≥3’ Comm. Math. Phys. 64 (1978), 35–40.
Ruelle, D.: Elements of different/able dynamics and bifurcation theory, Acad. Press, 1989.
Ruelle, D.: ‘Strange attractors’, Math. Intelligencer 2 (1980), 126–140.
Szép, J. and Forgo, F.: Introduction to the theory of games, Reidel, 1985.
Neumann, J. von and Morgenstern, O.: Theory of games and economic behavior, Princeton Univ. Press, 1953.
Mather, J.: Notes on topological stability, Harvard Univ. Press, 1970. Mimeographed notes.
Gibson, C.G., Wirthmüller, K., Plessis, A.A. du and Looijenga, E.J.N.: Topological stability of smooth mappings, Springer, 1976.
Goresky, M. and MacPherson, R.: Stratified Morse theory, Springer, 1988.
Johnson, F.: ‘On the triangulation of stratified sets and singular varieties’, Trans. Amer. Math. Soc. 275 (1983), 333–343.
Hironaka, H.: ‘Subanalytic sets’, in Number Theory, Algebraic Geometry and Commutative Algebra, Kinokuniya, 1973, pp. 453–493.
Whitney, H.: ‘Tangents to an analytic variety’, Ann. of Math. 81 (1965), 496–549.
Whitney, H.: ‘Local properties of analytic varieties’, in S. Cairns (ed.): Differentiable and Combinatorial Topology, Princeton Univ. Press, 1965, pp. 205–244.
Thom, R.: Propriétés différentielles locales des ensembles analytiques, Sem. Bourbaki, Exp. 281, 1964/5.
Wilks, S.S.: Mathematical statistics, Wiley, 1962.
Cochran, W.G.: Sampling techniques, Wiley, 1977.
Ikeda, N. and Watanabe, S.: Stochastic differential equations and diffusion processes, North-Holland, 1989.
Procter, P.: Stochastic integrals and differential equations, Springer, 1990.
Stratonovich, R.L.: ‘A new representation for stochastic integrals and equations’, SI AM J. Control 4 (1966), 362–371.
Fisk, D.L.: ‘Quasi-martingales and stochastic integrals’, Techn. Report Dept. Math. Michigan State Univ. 1 (1963).
Wong, E. and Zakai, M.: ‘On the relation between ordinary and stochastic differential equations’, Int. J. Engin. Sci. 3 (1965), 213–229.
Stroock, D.W. and Varadhan, S.R.S.: ‘On the support of diffusion processes with applications to the strong maximum principle’, in Proc. VI Berkeley Symp. Math. Statist. Probab., Vol. Ill, Univ. California Press, 1972, pp. 333–359.
Landau, L.D. and Lifshitz, E.M.: Elasticity theory, Pergamon, 1959 (translated from the Russian).
Truesdell, C. and Noll, W.: The non-linear field theories of mechanics’, in S. Flügge (ed.): Handbuch der Physik, Vol. III/3, Springer, 1965, pp. 1–602.
Truesdell, C. and Toupin, R.: The classical field theories’, in S. Flügge (ed.): Handbuch der Physik, Vol. III/1, Springer, 1960, pp. 226–793.
Sokolnikoff, I.S.: Mathematical theory of elasticity, McGraw-Hill, 1956.
Feys, R.: Modal logics, Gauthier-Villars, 1965.
Lewis, C.I. and Langford, C.H.: Symbolic logic, Dover, reprint, 1959.
Ackermann, W.: ‘Begründung einer strengen Implikation’, J. Symbolic Logic 21, no. 2 (1956), 113–128.
Norman, J. and Sylvan, R.(eds.): Directions in relevant logic, Kluwer, 1989.
Hughes, G.E. and Cresswell, M.J.: An invitation to modal logic, Methuen, 1972.
Wojcicki, R.: Theory of logical calculi, Kluwer, 1988, p. 154ff.
Churchill, R.V., Brown, J.W. and Verhey, R.F.: Complex variables and applications, McGraw-Hill, 1974.
Blaschke, W.: Einführung in die Differentialgeometrie,Springer, 1950.
Grötzsch, H.: ‘Über einige Extremalprobleme der konformen Abbildung I’, Ber. Verh. Sächsisch. Akad. Wiss. Leipzig. Math.-Phys. Kl. 80, no. 6 (1928), 367–376.
Grötzsch, H.: ‘Über die Verzerrung bei schlichten nichtkonformen Abbildungen und über eine damit zusammenhängende Erweiterung des Picardschen Satzes’, Ber. Verh. Sächsisch. Akad. Wiss. Leipzig. Math.-Phys. Kl. 80, no. 7 (1929), 503–507.
Grötzsch, H.: ‘Über die Verzerrung bei schlichter konformer Abbildung mehrfach zusammenhängender schlichter Bereiche’, Ber. Verh. Sächsisch. Akad. Wiss. Leipzig. Math.-Phys. Kl. 81, no. 1 (1929), 38–48.
Grötzsch, H.: ‘Über konforme Abbildung unendlichvielfach zusammenhängender schlichter Bereiche mit endlichvielen Häufungsrandkomponenten’, Ber. Verh. Sächsisch. Akad. Wiss. Leipzig. Math.-Phys. Kl. 81, no. 2 (1929), 51–87.
Goluzin, G.M.: Geometric theory of functions of a complex variable, Amer. Math. Soc, 1969 (translated from the Russian).
Jenkins, J. A.: Univalent functions and conformai mapping, Springer, 1958.
Polozhiĭ, G.N. and Chalenko, P.I.: ‘The strip method for solving integral equations’, Dop. Akad. Nauk UkrSSR, no. 4 (1962), 427–431 (in Ukrainian). (English abstract.).
Atkinson, K.: A survey of numerical methods for the solution of Fredholm integral equations of the second kind, SIAM, 1976.
Baker, C.T.H.: The numerical treatment of integral equations, Clarendon Press, 1977.
Jessen, B., Marcinkiewicz, J. and Zygmund, A.: ‘Note on the differentiability of multiple integrals’, Fund. Math. 25 (1935), 217–234.
Saks, S.: ‘On the strong derivatives of functions of intervals’, Fund Math. 25 (1935), 235–252.
Saks, S.: Theory of the integral, Hafner, 1952 (translated from the Polish).
Zygmund, A.: Trigonometric series, 2, Cambridge Univ. Press, 1988.
Zygmund, A.: ‘On the differentiability of multiple integrals’, Fund. Math. 23 (1934), 143–149.
Petersen, K.: Ergodic theory, Cambridge Univ. Press, 1983.
Lavrent’ev, M.A. and Lyusternik, L.A.: A course in variational calculus, Moscow-Leningrad, 1950 (in Russian).
Smirnov, V.I.: A course of higher mathematics, 4, Addison-Wesley, 1964 (translated from the Russian).
Cesari, L.: Optimization — theory and applications. Problems with ordinary differential equations, Springer, 1983.
Dunford, N. and Schwartz, J.T.: Linear operators. General theory, 1, Interscience, 1958.
Dunford, N. and Schwartz, J.T.: Linear operators. Spectral theory, 2, Interscience, 1963.
Hildebrandt, T.H.: ‘Integration in abstract spaces’, Bull. Amer. Math. Soc. 59(1953), 111–139.
Diestel, J. and Uhl, J.J., jr.: Vector measures, Amer. Math. Soc, 1977.
Bori-I-, I:.: ‘Les probabilités dénombrables et leurs applications arithmétique’, Rend. Circ. Mat. Palermo (2) 27 (1909), 247–271.
Cantelli, F.P.: ‘Sulla probabilità come limite della frequenza’, Atti Accad. Naz. Lincei 26, no. 1 (1917), 39–45.
Khinchin, A.Ya.: Fundamental laws of probability theory, Moscow, 1927 (in Russian).
Khintchine, A.Ya. [A.Ya. Khinchin]: ‘Sur la loi forte des grands nombres’, C.R. Acad. Sci. Paris Ser. I Math. 186 (1928), 285–287.
Kolmogorov, A.N.: ‘Sur la loi forte des grands nombres’, C.R. Acad. Sci. Paris Sér. I Math. 191 (1930), 910–912.
Prokhorov, Yu.V.: ‘On the strong law of large numbers’, Izv. Akad. Nauk SSSR Ser. Mat. 14 (1950), 523–536 (in Russian).
Doob, J.L.: Stochastic processes, Chapman and Hall, 1953.
Petrov, V.V.: Sums of independent random variables, Springer, 1975 (translated from the Russian).
Grenander, U.: Probabilities on algebraic structures, Wiley, 1963.
Lavrent’ev, M.A. and Lyusternik, L.A.: A course in variational calculus, Moscow-Leningrad, 1950 (in Russian).
Smirnov, V.I.: A course of higher mathematics, 4, Addison-Wesley, 1964 (translated from the Russian).
Elsgolc, L.E. [L.E. El’sgolts]: Calculus of variations, Pergamon, 1961 (translated from the Russian).
Cesari, L.: Optimization — theory and applications. Problems with ordinary differential equations, Springer, 1983.
Chazarain, J. and Piriou, A.: Introduction à la théorie des équations aux dérivées partielles linéaires, Gauthier-Villars, 1981, p. 223.
Köthe, G.: Topological vector spaces, 1, Springer, 1969.
Hille, E. and Phillips, R.: Functional analysis and semigroups, Amer. Math. Soc, 1957.
Pazy, A.: Semigroups of linear operators and applications to partial differential equations, Springer, 1983.
Arendt, W., Grabosch, A., Greiner, G., Groh, U., Lotz, H.P., Moustakas, U., Nagel, R., Neubrander, F. and Schlotterbeck, U.: One parameter semigroups of positive operators, Lecture notes in math., 1184, Springer, 1986.
Daleckii, Yu.I. [Yu.I. Daletskiĭ] and Kreĭn, M.G.: Stability of solutions of differential equations in Ban ach space, Amer. Math. Soc, 1974 (translated from the Russian).
Savelov, A.A.: Plane curves, Moscow, 1960 (in Russian).
Smogorzhevskiĭ, A.S. and Stolova, E.S.: Handbook of the theory of planar curves of the third order, Moscow, 1961 (in Russian).
Gomes, Teixeira, F.: Traité des courbes, 1–3, Chelsea, reprint, 1971.
Lawrence, J.D.H.: A catalog of special planar curves, Dover, reprint, 1972.
Sedov, L.I.: Similarity and dimensional methods in mechanics, Acad. Press, 1959.
Kurosh, A.G.: The theory of groups, 1–2, Chelsea, 1955–1956 (translated from the Russian).
Saussure, F. de: Cours de linguistique générale, Payot, 1916.
Trubetzkoy, N.S.: Grundzüge der Phonologie, Vandenhoeck & Ruprecht, reprint, 1958.
Jakobson, R., Fant, G.M. and Halle, M.: Preliminaries to speech analysis: the distinctive features and their correlates, MIT, 1963 (in Russian).
Uspenskiĭ, V.A.: Vaprosy Yazikoznaniya 6 (1964), 39–53.
Revzin, I.I.: The structure of language as a modelling system, Moscow, 1978 (in Russian).
Bloomfield, L.: Language, Holt, 1933.
Harris, Z.S.: Methods in structural linguistics, Univ. Chicago Press, 1951.
Chomsky, N.: Syntactic structures, Mouton, 1957.
Chomsky, N.: Aspects of the theory of syntax, MIT, 1965.
Mel’chuk, I.A.: An experiment of the theory of linguistic ‘Meaning vs. Text’ models, Moscow, 1974 (in Russian).
Apresyan, Yu.D.: Lexical semantics, Moscow, 1974 (in Russian).
Apresyan, Yu.D.: Ideas and methods of modern structural linguistics, Moscow, 1966 (in Russian).
Partee, B.H., Meulen, A. ter and Wall, R.E.: Mathematical methods in linguistics, Kluwer, 1990.
Vachek, J. (ed.): A prague school reader in linguistics, Indiana Univ. Press, 1964.
Vachek, J.: The linguistic school of Prague, Indiana Univ. Press, 1966.
Sapir, E.: Language: an introduction to the study of speech, Harcourt & Brace, 1921.
Bourbaki, N.: Eléments d’histoire des mathématiques, Hermann, 1960.
Bourbaki, N.: Elements of mathematics. Theory of sets, Addison-Wesley, 1968 (translated from the French).
Adamek, J.: Theory of mathematical structures, Reidel, 1983, Chapt. 6.
MacLane, S.: Categories for the working mathematician, Springer, 1971, p. 26.
Kurosh, A.G.: Theory of groups, 2, Chelsea, reprint, 1955, p. 85 (translated from the Russian).
Rashevskiǐ, P.: ‘Caractères tensoriels de l’espace sousprojectif’, Trudy Sem. Vektor, i Tenzor. Anal. 1 (1933), 126–142.
Vagner, V.: ‘The theory of geometric objects and the theory of finite and infinite continuous transformation groups’, Dokl. Akad. Nauk SSSR 46, no. 9 (1945), 347–349 (in Russian).
Veblen, O. and Whitehead, J.H.C.: The foundations of differential geometry, Cambridge Univ. Press, 1932.
Rashevskiǐ, P.K.: ‘On linear representations of differential groups and Lie groups with nilpotent radical’, Trudy Moskov. Mat. Obshch. 6 (1957), 337–370 (in Russian).
Sternberg, S.: Lectures on differential geometry, Prentice-Hall, 1964.
Ehresmann, Ch.: ‘Introduction à la théorie des structures infinitesimals et des pseudo-groupes de Lie’, in Géométrie Diff. Coll. Internat. C.N.R.S., 1953, pp. 97–110.
Cartan, E.: ‘La théorie des groupes et les récherches récentes de géométrie différentielle’, Enseign. Math. 24 (1925), 5–18.
Cohn, P.M.: Algebra, 2, Wiley, 1989, p. 167ff.
Jacobson, N.: Structure of rings, Amer. Math. Soc., 1956.
Struve, H.: Ann. Physik Chemie 17 (1882), 1008–1016.
Jahnke, E., Emde, F. and Lösch, F.: Tafeln höheren Funktionen, Teubner, 1966.
Abramowitz, M. and Stegun, A.: Handbook of mathematical functions, Dover, reprint, 1970.
Bateman, H. and Erdélyi, A.: Higher transcendental functions, 2, McGraw-Hill, 1953.
Watson, G.N.: A treatise on the theory of Bessel functions, Cambridge Univ. Press, 1952.
Cramer, H.: Mathematical methods of statistics, Princeton Univ. Press, 1946.
Bol’shev, L.N. and Smirnov, N.V.: Tables of mathematical statistics, Libr. of mathematical tables, 46, Nauka, Moscow, 1983 (in Russian). Processed by L.S. Bark and E.S. Kedrova.
‘Student’ (W.S. Gösset): ‘The probable error of a mean’, Biometrika 6 (1908), 1–25.
Cramér, H.: Mathematical methods of statistics, Princeton Univ. Press, 1946.
Wilks, S.S.: Mathematical statistics, Wiley, 1962.
Smirnov, N.V. and Dunin-Barkovskiĭ, I.V.: Mathematische Statistik in der Technik, Deutsch. Verlag Wissenschaft., 1969 (translated from the Russian).
Bol’shev, L.N. and Smirnov, N.V.: Tables of mathematical statistics, Libr. of mathematical tables, 46, Nauka, Moscow, 1983 (in Russian). Processed by L.S. Bark and H.S. Kedrova.
Linnik, Yu.V.: Methoden der kleinsten Quadraten in moderner Darstellung, Deutsch. Verlag Wissenschaft., 1961 (translated from the Russian).
David, H.: Order statistics, Wiley, 1970.
Wilks, S.S.: Mathematical statistics, Wiley, 1962.
Mood, A.M. and Graybill, F.A.: introduction to the theory of statistics, McGraw-Hill, 1963, p. 243.
Müller, P.H., Neumann, P. and Storm, R.: Tafeln der mathematischen Statistik, C. Hauser Verlag, 1977, pp. 166–169.
Savelov, A.A.: Plane curves, Moscow, 1960 (in Russian).
Lawrence, J.D.H.: A catalog of special plane curves, Dover, reprint, 1972.
Gomes Teixeira, F.: Traité des courbes, 1–3, Chelsea, reprint, 1971.
Levitan, B.M. and Sargsyan, I.S.: Introduction to spectral theory, Amer. Math. Soc., 1975 (translated from the Russian).
Naĭmark, M.A.: Lineare Differentialoperatoren, Akad. Verlag, 1960 (translated from the Russian).
Levitan, B.M.: Generalized translation operators and some of their applications, Israel Progr. Sci. Transi., 1964 (translated from the Russian).
Marchenko, V.A.: Sturm — Liouville operators and applications, Birkhäuser, 1986 (translated from the Russian).
Delsarte, J.: ‘Sur certaines transformations fonctionnelles rélatives aux équations linéaires aux dérivées partielles du second ordre’, C.R. Acad. Sci. Paris 206 (1938), 1780–1782.
Povzner, A.Ya.: ‘On Sturm — Liouville type differential equations on the half-line’, Mat. Sb. 23, no. 1 (1948), 3–52 (in Russian).
Levitan, B.M.: ‘The application of generalized shift operators to linear second-order differential equations’, Uspekhi Mat. Nauk 4, no. 1 (1949), 3–112 (in Russian).
Levin, B.Ya.: ‘Transformations of Fourier and Laplace types by means of solutions of second order differential equations’, Dokl. Akad. Nauk SSSR 106, no. 2 (1956), 187–190 (in Russian).
Levitan, B.M.: Inverse Sturm- Liouville problems, VNU, 1987 (translated from the Russian).
Carroll, R.: Transformation theory and application, North-Holland, 1985.
Levitan, B.M. and Sargsyan, I.S.: Sturm- Liouville and Dirac operators, Kluwer, 1991 (translated from the Russian).
Naĭmark, M.A.: Lineare Differentialoperatoren, Akad. Verlag, 1960 (translated from the Russian).
Akhiezer, N.I. and Glazman, I.M.: Theory of linear operators in Hubert space, 2, Pitman, 1980 (translated from the Russian).
Levitan, B.M. and Sargsyan, I.S.: Introduction to spectral theory, Amer. Math. Soc., 1975 (translated from the Russian).
Marchenko, V.A.: Sturm — Liouville operators and applications, Birkäuser, 1986 (translated from the Russian).
Coddington, E.A. and Levinson, N.: Theory of ordinary differential equations, McGraw-Hill, 1955.
Glazman, I.M.: Direct methods for a qualitative spectral analysis of singular differential operators, Moscow, 1963 (in Russian).
Hutson, V. and Pym, J.: Applications of functional analysis and operator theory, Acad. Press, 1980.
Titchmarsh, E.C.: Eigenfunction expansions associated with second-order differential equations, 1, Clarendon Press, 1946.
Mirzoev, G.A.: ‘Description of the self-adjoint extensions of quasi-regular operators generated by differential expressions with two terms’. Math. Notes 29, no. 2 (1981), 116–121. (Mat. Zametki 29, no. 2 (1981), 225–233)
Molchanov, A.M.: ‘On conditions for discreteness of the spectrum of a second-order differential equation’, Trudy Moskov. Mat. Obshch. 2 (1953), 169–199 (in Russian).
Levinson, N.: ‘Criteria for the limit-point case for second order linear differential operators’, Casopis Pest. Mat. Fys. 74 (1949), 17–20.
Ismagilov, R.S.: ‘Conditions for self-adjointness of differential operators of higher order’, Soviet Math. Dokl 3, no. 1 (1962), 279–283. (Dokl. Akad. Nauk SSSR 142, no. 6 (1962), 1239–1242)
Povzner, A.Ya.: ‘On differential equations of Sturm — Liouville type on the half-line’, Mat. Sb. 23, no. 1 (1948), 3–52 (in Russian).
Everitt, W.: ‘On the deficiency index problem for ordinary differential equations 1910–1976’, in G. Berg, et al. (ed.): Differential Equations (Proc. Internat. Conf. Uppsala), Almqvist & Weksell, 1977, pp. 62–81.
Berezanskiĭ, Yu.M.: Expansion in eigenfunctions of selfad-joint operators, Amer. Math. Soc., 1968 (translated from the Russian).
Dunford, N. and Schwartz, J.T.: Linear operators. Spectral theory, 2, Interscience, 1963.
Levitan, B.M. and Sargsyan, I.S.: Sturm- Liouville and Dirac operators, Kluwer, 1991 (translated from the Russian).
Levitan, B.M. and Sargsyan, I.S.: An introduction to spectral theory, Amer. Math. Soc., 1975 (translated from the Russian).
Levitan, B.M.: Expansions of second-order differential equations with respect to eigenfunctions, Moscow-Leningrad, 1950 (in Russian).
Levitan, B.M.: Generalized translation operators and some of their applications, Israel Progr. Sci. Transl., 1964 (translated from the Russian).
Marchenko, V.A.: Sturm — Liouville operators and applications, Birkhäuser, 1986 (translated from the Russian).
Titchmarsh, E.: Eigenfunction expansions associated with second-order differential equations, Clarendon Press, 1962.
Coddington, E.A. and Levinson, N.: Theory of ordinary differential equations, McGraw-Hill, 1955.
Naĭmark, M.A.: Lineare Differentialoperatoren, Akad. Verlag, 1960 (translated from the Russian).
Kostyuchenko, A.G. and Sargsyan, I.S.: Distribution of eigenvalues, Moscow, 1979 (in Russian).
Weyl, H.: ‘Über gewöhnliche lineare Differentialgleichungen mit singulären Stellen und ihre Eigenfunktionen’, Gott. Nachr. (1909), 37–64.
Weyl, H.: ‘Über gewöhnliche lineare Differentialgleichungen mit Singularitäten und die Zugehörigen Entwicklungen willküriger Funktionen’, Math. Ann. 68 (1910), 220–269.
Weyl, H.: ‘Über gewöhnliche lineare Differentialgleichungen mit singulären Stellen und ihre Eigenfunktionen (2)’, Gott. Nachr. (1910), 442–467.
Kreĭn, M.G.: On the indeterminate case of the Sturm — Liouville boundary problem in the interval (0, ∞) Izv. Akad. Nauk SSSR Ser. Mat. 16, no. 4 (1952), 293–324 (in Russian).
Gel’fand, I.M. and Levitan, B.M.: ‘On a simple identity for the characteristic values of a differential operator of the second order’, Dokl. Akad. Nauk SSSR 88, no. 4 (1953), 593–596 (in Russian).
Steklov, V.A.: ‘On the development of a given function in a series made up from harmonic functions’, Soobshch. Khar’k. Mat. Obshch. 5. no. 1–2 (1896) (in Russian).
Levitan, B.M. and Sargsyan, I.S.: ‘Some problems in the theory of the Sturm — Liouville equation’, Russian Math. Surveys 15, no. 1 (1960), 1–95. (Uspekhi Mat. Nauk 15, no. 1 (1960), 3–98)
Marchenko, V.A.: ‘On the theory of a second-order differential operator’, Dokl. Akad. Nauk SSSR 72, no. 3 (1950), 457–460 (in Russian).
Levitan, B.M.: ‘On the asymptotic behaviour of the spectral function of a second-order self-adjoint differential equation, and on eigenfunction expansion’, lzv. Akad. Nauk SSSR Ser. Mat. 17. no. 4 (1953). 331–364 (in Russian).
Levitan, B.M.: On the asymptotic behaviour of the spectral function of a second-order self-adjoint differential equation, and on eigenfunction expansion IF, Izv. Akad. Nauk SSSR Ser. Mat. 19, no. 1 (1955), 33–58 (in Russian).
Wet, J.S. de and Mande, F.: ‘On the asymptotic distribution of eigenvalues’, Proc. Roy. Soc. Ser. A 200 (1950), 572–580.
Titchmarsh, E.: ‘On the uniqueness of the Green’s function associated with a second-order differential equation’, Canad. J. Math. 1 (1949), 191–198.
Levinson, N.: ‘Criteria for the limit-point case for second order linear differential operators’, Casopis Pest Mat. Fys. 74 (1949), 17–20.
Sears, D. and Titchmarsh, E.: ‘Some eigenfunction formulae’, Quart. J. Math. (Oxford Ser.) 1 (1950), 165–175.
Lax, P.D.: ‘Integrals of nonlinear equations of evolution and solitary waves’, Comm. Pure Appl. Math. 21 (1968), 467–490.
Zakharov, V.E. and Shabat, A.B.: Soviet Phys. JETP (1972), 62–69.
Miura, R.M.: ‘The Korteweg — de Vries equation: a survey of results’, SIAM Review 18 (1976), 412–459.
Eckhaus, W. and Harten, A. van: The inverse scattering transformation and the theory of solitons, North-Holland, 1983.
Schuur, P.C.: Asymptotic analysis of soliton problems, Springer, 1986.
Berezanskiĭ, Yu.M.: Expansions in eigenfunctions of selfadjoint operators, Amer. Math. Soc., 1968 (translated from the Russian).
Reid, W.T.: Sturmian theory for ordinary differential equations, Springer, 1980.
Marchenko, V.A.: Sturm — Liouville operators and applications, Birkhäuser, 1986 (translated from the Russian).
Agranovich, Z.S. and Marchenko, V.A.: The inverse problem in scattering theory, Khar’kov, 1960 (in Russian).
Shadan, C. and Sabatier, P.: Inverse problems in quantum scattering theory, Springer, 1989.
Levitan, B.M.: Generalized translation operators and some of their applications, Israel Progr. Sci. Transl., 1964 (translated from the Russian).
Levitan, B.M.: The theory of solitons: methods of the inverse problem, Moscow, 1980 (in Russian).
Berezanskiĭ, Yu.M.: Expansion in eigenfunctions of se If ad joint operators, Amer. Math. Soc., 1968 (translated from the Russian).
Faddeev, L.D.: The inverse problem in quantum scattering theory’, Uspekhi Mat. Nauk 14, no. 4 (1959), 57–119 (in Russian).
Faddeev, L.D.: Inverse problem of quantum scattering theory IT, J. Soviet. Math. 5. no. 3 (1976), 334–450. (Itogi Nauk. i Tekhn. Sovremen. Probl. Mat. 3 (1974), 93–180)
Levitan, B.M. and Gasymov, M.G.: ‘Determination of a differential equation by two of its spectra’, Russian Math. Surveys 19. no. 2 (1964). 1–64. (Uspkehi Mat. Nauk 19. no. 2 (1964).’ 3–63)
Ambarzumian, V.: Z Phys. 53 (1929), 690–695.
Borg, G.: ‘Eine Umkehrung der Sturm — Liouvilleschen Eigenwertaufgabe, Bestimmung der Differentialgleichung durch die Eigenwerte’, Acta Math. 78 (1946), 1–96.
Levinson, N.: ‘On the uniqueness of the potential in a Schrödinger equation for a given asymptotic phase’, Danske Vid. Selsk. Mat. -Fys. Medd. 25, no. 9 (1949), 1–29.
Marchenko, V.A.: ‘On the theory of a second-order differential operator’, Dokl. Akad. Nauk SSSR 72, no. 3 (1950), 457–460 (in Russian).
Gel’fand, I.M. and Levitan, B.M.: ‘On the determination of a differential equation from its spectral function’, Izv. Akad. Nauk SSSR Ser. Mat. 15, no. 4 (1951), 309–360 (in Russian).
Kreĭn, M.G.: ‘Solution of the inverse Sturm — Liouville problem’, Dokl. Akad. Nauk SSSR 76, no. 1 (1951), 21–24 (in Russian).
Kreĭn, M.G.: ‘On inverse problems for a nonhomogeneous chord’, Dokl. Akad. Nauk SSSR 82, no. 5 (1952), 669–672 (in Russian).
Kreĭn, M.G.: ‘On the transfer function of a one-dimensional second-order boundary problem’, Dokl. Akad. Nauk SSSR 88, no. 3 (1953), 405–408 (in Russian).
Marchenko, V.A.: ‘On reconstructing the potential energy from phases of scattered waves’, Dokl. Akad. Nauk SSSR 104, no. 5 (1955), 695–698 (in Russian).
Levin, B.Ya.: ‘Transformations of Fourier and Laplace types by means of solutions of second-order differential equations’, Dokl. Akad. Nauk SSSR 106, no. 2 (1956), 187–190 (in Russian).
Newton, R. and Jost, R.: ‘The construction of potentials from the S-matrix for systems of differential equations’, Nuovo Cimento 1, no. 4 (1955), 590–622.
Gasymov, M.G. and Levitan, B.M.: ‘Determination of Dirac’s system from the scattering phase’, Soviet Math. Dokl. 7, no. 2 (1966), 543–547. (Dokl. Akad. Nauk SSSR 167, no. 6 (1966), 1219–1222)
Gasymov, M.G.: ‘The inverse problem of scattering theory for a system of Dirac equations of order 2n’ Trudy Moskov. Mat. Obshch. 19 (1968), 41–112 (in Russian).
Rofe-Beketov, F.S.: ‘The spectral matrix and the inverse Sturm — Liouville problem on the axis (— ∞, ∞)’, Teor. Funktsiĭ, Funktional. Analiz. i Prilozhen., no. 4 (1967), 189–197 (in Russian).
Levitan, B.M.: ‘The inverse problem in quantum scattering theory at fixed energy’, in Probl. Mekh. i Mat. Fiz. (I. G. Petrovskiĭ), Moscow, 1976, pp. 166–207 (in Russian).
Akhiezer, N.I.: ‘A continuous analogue of orthogonal polynomials on a system of intervals’, Soviet Math. Dokl. 2, no. 6 (1961), 1409–1412. (Dokl. Akad. SSSR 141, no. 2 (1961), 263–266)
Guseinov, G.Sh.: ‘The inverse problem of scattering theory for a second-order difference equation on the whole axis’, Soviet Math. Dokl. 17, no. 6 (1976), 1684–1688. (Dokl. Akad. Nauk SSSR 231, no. 5 (1976), 1045–1048)
Levitan, B.M.: Inverse Sturm — Liouville problems, VNU, 1987 (translated from the Russian).
Deift, P. and Trubowitz, E.: ‘Inverse scattering on the line’, Comm. Pure Appl. Math. 32 (1979), 121–251.
Pöschel, J. and Trubowitz, E.: Inverse spectral theory, Acad. Press, 1987.
Ramm, A.G.: ‘Inverse scattering on half-line’, J. Math. Anal. Appl. 133(1988), 543–572.
Ramm, A.G. and Taylor, B.A.: ‘Example of a potential in one-dimensional scattering problem for which there are infinitely many purely imaginary resonances’, Phys. Lett. 124A (1987), 313–319.
Andersson, L.E.: ‘Inverse eigenvalue problems with discontinuous coefficients’, Inverse Probl. 4 (1988), 353–397.
Ramm, A.G.: ‘Recovery of the potential from /-function’, Math. Reports Canad. Acad. Sci. 9 (1987), 177–182.
Ramm, A.G.: ‘Necessary and sufficient conditions on the scattering data for the potential to be in L 2 for the Schrödinger operator on the half-line’, Inverse Probl. 3 (1987), L71–76.
Ramm, A.G.: ‘An inverse problem for the Helmholtz equation in a semi-infinite medium’, Inverse Probl. 3 (1987), L19–22.
Isaacson, E.L. and Trubowitz, E.: ‘The inverse Sturm —Liouville problem I’, Comm. Pure Appl. Math. 36 (1983), 767–784.
Isaacson, E.L., McKean, H.P. and Trubowitz, E.: The inverse Sturm —Liouville problem II’, Comm. Pure Appl. Math. 37(1984), 1–12.
Dahlberg, B.E.J., and Trubowitz, E.: The inverse Sturm-Liouville problem III’, Comm. Pure Appl. Math. 37 (1984), 255–267.
Baer, R.: Linear algebra and projective geometry, Acad. Press, 1952.
Suzuki, M.: Structure of a group and the structure of its lattice of subgroups. Springer, 1967.
Skornyakov, L.A.: Complemented modular lattices and regular rings, Oliver & Boyd, 1964 (translated from the Russian).
Cohn, P.M.: Universal algebra, Reidel, 1981.
Sadovskiĭ, L.E.: ‘Some lattice-theoretical problems in the theory of groups’, Russian Math. Surveys 23, no. 3 (1968), 125–156. (Uspekhi Mat. Nauk 23, no. 3 (1968), 123–157)
Arshinov, M.N. and Sadovskiï, L.E.: ‘Some lattice-theoretic properties of groups and semigroups’, Russian Math. Surveys 27, no. 6 (1972), 149–191. (Uspekhi Mat. Nauk 27, no. 6 (1972), 139–180)
Shevrin, L.N. and Ovsyannikov, A.I.: ‘Semigroups and their subsemigroup lattices’, Semigroup Forum 27 (1983), 1–154.
Shevrin, L.N. and Ovsyannikov, A.I.: Semigroups and their subsemigroup lattices, 1–2, Sverdlovsk, 1990–1991 (in Russian).
Lampe, W.A.: ‘The independence of certain related structures of a universal algebra I-IV, Algebra Univ. 2 (1972), 99–112; 270–283; 286–295; 296–302.
Rockafellar, R.T.: Convex analysis, Princeton Univ. Press, 1970.
Schneider, R.: ‘Boundary structure and curvature of convex bodies’, in J. Tölke and J.M. Wills (eds.): Contributions to Geometry, Birkhäuser, 1979, pp. 13–59.
Bakbu, V. and Precupanu, Th.: Convexity and optimization in Banach spaces, Reidel, 1986, p. 101ff.
Aleksandrov, P.S.: Combinatorial topology, Graylock, 1956 (translated from the Russian).
Hilton, P.J. and Wylie, S.: Homology theory. An introduction to algebraic topology, Cambridge Univ. Press, 1965.
Maunder, C.R.F.: Algebraic topology, Cambridge Univ. Press, 1980.
Spanier, E.H.: Algebraic topology, McGraw-Hill, 1966.
Schwichtenberg, H.: ‘Some applications of cut-elimination’, in J. Barwise (ed.): Handbook of Mathematical Logic, North-Holland, 1977, pp. 867–896 (esp. 876).
Beth, E.W.: Formal methods, Reidel, 1962, Sects. 27–28.
Kleene, S.C.: Introduction to metamathematics, North-Holland, 1950, p. 450.
Kurosh, A.G.: The theory of groups, 1–2, Chelsea, 1955–1956 (translated from the Russian).
Hall, M., jr.: The theory of groups, Macmillan, 1959.
Kargapolov, M.I. and Merzljakov, J.I. [Yu.I. Merzlyakov]: Fundamentals of the theory of groups, Springer, 1979 (translated from the Russian).
Kurosh, A.G.: The theory of groups, 1–2, Chelsea, 1955–1956 (translated from the Russian).
Suzuki, M.: Group theory, 1, Springer, 1986.
Robinson, D.J.S.: A course in the theory of groups, Springer, 1980.
Kurosh, A.G.: The theory of groups, 1–2, Chelsea, 1955–1956 (translated from the Russian).
Chernikov, S.N.: Groups with given properties of subgroup systems, Moscow, 1980 (in Russian).
Robinson, D.J.S.: Finiteness conditions and generalised soluble groups, 1–2, Springer, 1972.
Hartogs, F.: ‘Zur Theorie der analytischen Funktionen mehrerer unabhängiger Veränderlichen, insbesondere über die Darstellung derselben durch Reihen welche nach Potenzen einer Veränderlichen fortschreiten’, Math. Ann. 62 (1906), 1–88.
Riesz, F.: ‘Sur les fonctions sousharmoniques et leur rapport à la théorie du potentiel I’, Acta Math. 48 (1926), 329–343.
Riesz, F.: Sur les fonctions sousharmoniques et leur rapport à la théorie du potentiel IF, Acta Math. 54 (1930), 321–360.
Privalov, I.I.: Subharmonic functions, Moscow-Feningrad, 1937 (in Russian).
Privalov, I.I.: Boundary properties of univalent analytic functions, Moscow, 1941 (in Russian).
Priwalow, I.I. [I.I. Privalov]: Randeigenschaften analytischer Funktionen, Deutsch. Verlag Wissenschaft., 1956 (translated from the Russian).
Radó, T.: Subharmonic functions, Springer, 1937.
Hayman, W. and Kennedy, P.: Subharmonic functions, 1, Acad. Press, 1976.
Hayman, W.: Subharmonic functions, 2, Acad. Press, 1989.
Brelot, M.: Etude des fonctions sousharmoniques au voisinage d’un point, Hermann, 1934.
Brelot, M.: Lectures on potential theory, Tata Inst., 1967.
Heins, M.: Hardy classes on Riemann surfaces, Springer, 1969.
Solomentsev, E.D.: ‘On some classes of subharmonic functions’, Izv. Akad. Nauk SSSR 5–6 (1938), 571–582 (in Russian).
Privalov, I.I. and Kuznetsov, P.I.: ‘Sur les problèmes limites et les classes différentes de fonctions harmoniques et sousharmoniques définies dans une domaine arbitraire’, Mat. Sb. 6, no. 3 (1939), 345–376 (in Russian). French abstract.
Solomentsev, E.D.: ‘Classes of functions subharmonic on a half-space’, Vestnik Moskov. Gos. Univ. Ser. Mat. -Mekh. Astron., no. 5 (1959), 73–91 (in Russian).
Solomentsev, E.D.: ‘On boundary values of subharmonic functions’, 8, no. 4 (1958), 520–536 (in Russian). French abstract.
GÅrding, L. and Hormander, L.: ‘Strongly subharmonic functions’, Math. Scand. 15 (1964), 93–96.
Solomentsev, E.D.: ‘Harmonic and subharmonic functions and their generalization’, Itogi Nauk Mat. Anal. Teor. Veroyat-nost. Regulirovanie 1962 (1964), 83–100 (in Russian).
Vladimirov, V.S.: Methods of the theory of functions of several complex variables, M.I.T, 1966 (translated from the Russian).
Bliedtner, J. and Hansen, W.: Potential theory. An analytic and probabilistic approach to balayage, Springer, 1986.
Ronkin, F.F.: Introduction to the theory of entire functions of several variables, Amer. Math. Soc., 1974 (translated from the Russian).
Kellog, O.D.: Foundations of potential theory, Dover, reprint, 1954, p. 315ff.
Birkhoff, G.: Lattice theory, Colloq. Publ., 25, Amer. Math. Soc., 1973.
Skornyakov, L.A.: Elements of lattice theory, A. Hilger & Hindushtan Publ. Comp., 1977 (translated from the Russian).
Zhitomirskiĭ, G.I.: ‘Lattices of subsets’, in Ordered Sets and Lattices, Vol. 7, Saratov, 1983, pp. 69–97 (in Russian).
Grätzer, G.: General lattice theory, Birkhäuser, 1978.
Rokhlin, V.A. and Fuks, D.B.: Beginner’s course in topology. Geometric chapters. Springer, 1984 (translated from the Russian).
Lang, S.: Introduction to differentiahle manifolds. Interscience, 1967.
Chfvallfy, C.: Theory of Lie groups, 1, Princeton Univ. Press, 1946.
Sternberg, S.: Lectures on differential geometry, Prentice-Hall, 1964.
Hirsch, M.W.: Differential topology, Springer, 1976.
Borisovich, Yu., Bliznyakov, N. and Izrailevich, Yu.: Introduction to topology, Kluwer, 1993 (translated from the Russian).
Rokhlin, V.A. and Fuks, D.B., Beginner’s course in topology. Geometrical chapters, 1984.
Lang, S.: Introduction to different!able manifolds. Interscience, 1967.
Phillips, A.: ‘Submersions of open manifolds’, Topology 6 (1966), 171–206.
Kasch, F.: Modules and rings, Acad. Press, 1982 (translated from the German).
Faith, C.: Algebra, 1–2, Springer, 1973–1976.
Hall, M.: The theory of groups, Mcmillan, 1959, Sect. 8.4.
Kargapolov, M.I. and Merzljakov, J.I. [Yu.I. Merzlyakov]: Fundamentals of the theory of groups, Springer, 1979 (translated from the Russian).
Suzuki, M.: Group theory, 1–2, Springer, 1986.
Lennox, J.C. and Stonehewer, S.E.: Subnormal subgroups of groups, Clarendon Press, 1987.
Robinson, D.J.S.: A course in the theory of groups, Springer, 1982.
Littlewood, J.E.: ‘On inequalities in the theory of functions’, Proc. Lond. Math. Soc. (2) 23 (1925), 481–519.
Rogosinski, W.: ‘On subordinate functions’, Proc. Cambridge Philos. Soc. 35(1939), 1–26.
Alenitsyn, Yu.: ‘A generalization of the subordination principle to multiply-connected domains’, Trudy Mat. Inst. Steklov. 60 (1961), 5–21 (in Russian).
Rogosinski, W.: Sehr. K. Gelehrt. Gesellsch. Naturwiss. Kl. 8, no. 1 (1931), 1–31.
Rogosinski, W.: ‘On a theorem of Bieberbach- Eilenberg’, J. Lond. Math. Soc. 14, no. 53 (1939), 4–11.
Rogosinski, W.: ‘On the coefficients of subordinate functions’, Proc. London Math. Soc. 48 (1943), 48–82.
Littlewood, J.E.: Lectures on the theory of functions, Oxford Univ. Press, 1944.
Goluzin, G.M.: Geometric theory of functions of a complex variable, Amer. Math. Soc., 1969 (translated from the Russian).
Duren, P.L.: Theory of H p spaces, Acad. Press, 1970.
Smirnov, V.I.: A course of higher mathematics, Addison-Wesley, 1964 (translated from the Russian).
Petrovskiĭ, I.G.: Partial differential equations, Saunders, 1967 (translated from the Russian).
Petrovskiĭ, I.G.: ‘Zur ersten Randwertaufgabe der Wärmeleitungsgleichung’, Compos. Math. 1 (1935), 383–419.
Doob, J.L.: Classical potential theory and its probabilistic counterparts, Springer, 1983.
Friedman, A.: Paratial differential quetions of parabolic type, Prentice-Hall, 1964.
Kagan, V.F.: Subprojective spaces, Moscow, 1961 (in Russian).
Schouten, J.A.: Ricci calculus, Springer, 1954 (translated from the German).
Novikov, P.S.: Elements of mathematical logic, Oliver & Boyd and Acad. Press., 1964 (translated from the Russian).
Shoenfield, J.R.: Mathematical logic, Addison-Wesley, 1967.
Hilbert, D. and Bernays, P.: Grundlagen der Mathematik, 1–2, Springer, 1968–1970.
Berger, M.: Geometry, 2, Springer, 1989 (translated from the French).
Gomes Teixeira, F.: Traité des courbes, 1–3, Chelsea, reprint, 1971.
Lamb, H.: Infinitesimal calculus, Cambridge Univ. Press, 1924, p. 118.
Libermann, P. and Marle, Ch.M.: Symplectic geometry and analytical mechanics, Reidel, 1987 (translated from the French).
Halmos, P.R. and Savage, L.I.: ‘Application of the Radon — Nikodym theorem to the theory of sufficient statistics’, Ann. Math. Stat. 20 (1949), 225–241.
Koimogorov, A.N.: ‘Unbiased estimators’, Izv. Akcui Nauk SSSR Ser. Mat. 14, no. 4 (1950), 303–326 (in Russian). (English translation in: Selected Works. Vol. 2 (Probability Theory and Mathematical Statistics), Kluwer. 1992. pp. 369–394.)
Rao C.R.: Linear statistical inference and its application, Wiley, 1973
Lehmann, E.L.: Testing statistical hypotheses, Wiley, 1988.
Kagan A.M., Linnik, Yu.V. and Rao, C.R.: Characterization problems in mathematical statistics, Wiley, 1973, Chapt. 8.
Titchmarsh, E.C.: The theory of the Riemann zeta-junction, Clarendon, 1951.
Hua, L.-K.: ‘Abschätzungen von Exponentialsummen und ihre Anwendung in der Zahlentheorie’, in Enzyklopaedie der Mathematischen Wissenschaften mit Einschluss ihrer Anwendungen, Vol. 1, 1959. Heft 13, Teil 1.
Edwards, H.M.: Riemann’s zeia function, Acad. Press, 1974, Chapt. 3.
Cooke R.G.: Infinite matrices and sequence spaces, Macmillan, 1950.
Kangro, G.F.: ‘Theory of summability of sequences and series’, J. Soviet Math. 5, no. 1 (1970), 1–45. (Itogi Nauk. i Tekhn. Mat. Anal. 12 (1974), 5–70)
Steinhaus, H.: ‘Some remarks on the generalization of the concept of limit’, Prace Mat. Fiz. 22 (1911), 121–134 (in Polish).
Mazur, S. and Orlicz, W.: ‘Sur les méthodes linéaires du sommation’, C.R. Acad. Sci. Paris 196 (1933), 32–34.
Hardy, G.H.: Divergent series, Clarendon, 1949.
Kangro, G.F.: ‘On summability factors’, Uchen. Zapiski Tartusk. Univ. 37 (1955), 191–232 (in Russian).
Kangro, G.F.: Theory of summability of sequences and series’, J. Soviet Math. 5, no. 1 (1970), 1–45. (Itogi Nauk. i Tekhn. Mat. Anal. 12 (1974), 5–70)
Baron, S.A.: Introduction to the theory of summability of series, Tartu, 1966 (in Russian).
Moore, C.N.: Summahle series and convergence factors, Dover. reprint, 1966.
Hardy, G.H. and Littlewood, J.E.: ‘Sur la série de Fourier d’une fonction à carré sommable’, C.R. Acad. Sci. Paris 156 (1913), 1307–1309.
Aleksich, G.: Convergence problems of orthogonal series, Pergamon, 1961 (translated from the Russian).
Zygmund, A.: Trigonometric series, 2, Cambridge Univ. Press, 1988.
Bary, N.K. [N.K. Bari]: A treatise on trigonometric series, Pergamon, 1964 (translated from the Russian).
Sunouchi, Gen-Ichirô: ‘Strong summability of Walsh-Fourier series’, Tôhoku Math. J. 16 (1964), 228–237.
Sunouchi, Gen-Ichirô: Acta Sci. Math. 27, no. 1–2 (1966), 71–76.
Bolgov, V.A. and Efimov, E.V.: ‘On the rate of summability of orthogonal series’, Math. USSR Izv. 5, no. 6 (1071), 1399–1417. (Izv. Akad. Nauk SSSR Ser. Mat. 35, no. 6 (1971), 1389–1408)
Zatewasser, Z.: Studia Math. 6 (1936), 82–88.
Leindier, L.: ‘Ueber die sehr starke Riesz-Summierbarkeit der Orthogonalreihen und Konvergenz lückenhafter Orthogonalreihen’, Acta Math. Acad. Sci. Hung 13. no. 3–4 (1962), 401–414.
Rudin, W.: Real and complex analysis, McGraw-Hill, 1966, p. 24.
Shilov, G.E. and Gurevich, B.L.: Integral, measure, and derivative: a unified approach, Dover, reprint, 1977, p. 29ff (translated from the Russian).
Hardy, G.H.: Divergent series, Clarendon, 1949.
Cooke, R.G: Infinite matrices and sequence spaces, Macmillan, 1950.
Kangro, G.F.: Theory of summability of sequences and series’, J. Soviet Math., 5, no. 1 (1970), 1–45. (Itogi Nauk. i Tekhn. Mat. Anal. 12 (1974), 5–70)
Baron, S.A.: Introduction to the theory of summability of series, Tartu, 1966 (in Russian).
Peyerimhoff, A.: Lectures on summability, Springer, 1969.
Knopp, K.: Theorie und Anwendung der unendlichen Reihen, Springer, 1964.
Zeller, K. and Beekmann, W.: Theorie der Limitierungsverfahren, Springer, 1970.
Pitt, H.: Tauberian theorems, Oxford Univ. Press, 1958.
Ganelius, T.H.: Tauberian remainder theorems, Springer, 1971.
Petersen, G.M.: Regular matrix transformations, McGraw-Hill, 1966.
Brudno, A.L.: ‘Summation of bounded sequences by matrices’, Mat. Sb. 16 (58), no. 2 (1945), 191–247 (in Russian). (English abstract).
Moore, C.N.: Summable sequences and convergence factors, Dover, reprint, 1966.
Hardy, G.H.: Divergent series, Clarendon, 1949.
Cooke, R.G.: Infinite matrices and sequence spaces, Macmillan, 1950.
Kangro, G.F.: ‘Theory of summability of sequences and series’, J. Soviet Math. 5, no. 1 (1970), 1–45. (Itogi Nauk. i Tekhn. Mat. Anal. 12 (1974), 5–70)
Baron, S.A.: Introduction to the theory of summability of series, Tartu, 1966 (in Russian).
Peyerimhoff, A.: Lectures on summability, Springer, 1969.
Knopp, K.: Theorie und Anwendung der unendlichen Reihen, Springer, 1964.
Zeller, K. and Beekmann, W.: Theorie der Limitierungsverfahren, Springer, 1970.
Petersen, G.M.: Regular matrix transformations, McGraw-Hill, 1966.
Moore, C.N.: Summable series and convergence factors, Dover, reprint, 1966.
Bary, N.K. [N.K. Bari]: A treatise on trigonometric series, Pergamon, 1964 (translated from the Russian).
Zygmund, A.: Trigonometric series, 1–2, Cambridge Univ. Press, 1988.
Hardy, G.H.: Divergent series, Clarendon, 1949.
Kaczmarz, S. and Steinhaus, H.: Theorie der Orthogonalreihen, Chelsea, reprint, 1951.
Timan, A. F.: Theory of approximation of functions of a real variable, Pergamon, 1963 (translated from the Russian).
Manin, Yu.I.: Gauge fields and complex geometry, Springer, 1988 (translated from the Russian).
Berezin, F.A.: Introduction to sup er analysis, Reidel, 1987 (translated from the Russian).
Leites, D.A. (ed.): Seminar on supermanifolds, Kluwer, 1990.
Berezin, F. A.: Introduction to super analysis, Reidel, 1987 (translated from the Russian).
Leites, D.A. (ed.): Seminar on supermanifolds, Kluwer, 1990.
Rothstein, M.: The axioms of supermanifolds and a new structure arising from them’, Trans. Amer. Math. Soc. 297 (1986), 159–180.
Seiert, H.J., Clarke, C.J.S. and Rosenblum, A. (eds.): Mathematical aspects of superspace, Reidel, 1984.
Bartocci, Cl., Bruzzo, U. and Hernández-Ruipérez, D.: The geometry of supermanifolds, Kluwer, 1991.
DeWitt, B.: Supermanifolds, Cambridge Univ. Press, 1984.
Leïtes, D.A.: ‘Introduction to the theory of supermanifolds’, Russian Math. Surveys 35, no. 1 (1980), 1–64. (Uspekhi Mat. Nauk 35, no. 1 (1980), 3–58)
Berezin, F.A. and Shubin, M.A.: The Schrodinger equation, Kluwer, 1991. Supplement 3: D.A. Leïtes, Quantization and supermanifolds.
Berezin, F.A.: Introduction to superanalysis, Reidel, 1987 (translated from the Russian).
Leites, D.A. (ed.): Seminar on super-manifolds, Kluwer, 1990
Kac, V.G.: ‘Representations of classical Lie superalgebras’, in K. Bleuler, et al. (ed.): Differential Geometrical Methods in Mathematical Physics II, Lecture notes in math., Vol. 676, Springer, 1978, pp. 597–626.
Berezin, F.A. and Shubin, M.A.: The Schrödinger equation, Kluwer, 1991. Supplement 3: D.A. LeTtes, Quantization and supermanifolds.
Berezin, F.A.: Introduction to superanalysis, Reidel, 1987 (translated from the Russian).
Ibragimov, I.A. and Khas’minskiĭ, R.Z.: Statistical estimation: Asymptotic theory, Springer, 1981 (translated from the Russian).
Schmetterer, L.: Introduction to mathematical statistics, Springer, 1974 (translated from the German).
le Cam, L.: ‘On some asymptotic properties of maximum likelihood estimates and related Bayes estimates’, Univ. California Publ. Stat. 1 (1953), 277–330.
Rockafellar, R.T.: Convex analysis, Princeton Univ. Press, 1970, p. 23; 307.
Doerk, K. and Hawkes, T.: Finite soluble groups, de Gruyter, 1992, p. 483ff.
Hall, M.: The theory of groups, Macmillan, 1959, Sects. 10.1; 10.5.
Rockafellar, R.T.: Convex analysis, Princeton Univ. Press, 1970.
Minkowski, H.: Geometrie der Zahlen, Chelsea, reprint, 1953.
Minkowski, H.: Gesammelte Abhandlungen, 2, Teubner, 1911.
Fenchel, W.: ‘On conjugate convex functions’, Canad. J. Math. 1 (1949), 73–77.
Fenchel, W.: Convex cones, sets and functions, Princeton Univ. Press, 1953.
Hörmander, L.: ‘Sur la fonction d’appui des ensembles convexes dans un espace localement convexe’, Ark. Mat. 3 (1955), 181–186.
Gruber, P.M. and Lekkerkerker, C.G.: Geometry of numbers, North-Holland, 1987.
Schneider, R.: ‘Boundary structure and curvature of convex bodies’, in J. Tölke and J.M. Wills (eds.): Contributions to Geometry, Birkhäuser, 1979, pp. 13–59.
Rudin, W.: Real and complex analysis, McGraw-Hill, 1966, p. 38.
Schwartz, L.: Théorie des distributions, Hermann, 1966.
Hörmander, L.: The analysis of linear partial differential operators, 1, Springer, 1983.
Vladimirov, V.S., Drozzinov, Yu.N. and Zavialov, B.I.: Tauberian theory for generalized functions, Kluwer, 1988 (translated from the Russian).
Gel’fand, I.M. and Shilov, G.E.: Generalized functions, 1. Properties and operations, Acad. Press, 1964, p. 5 (translated from the Russian).
Rudin, W.: Real and complex analysis, McGraw-Hill, 1966, p. 57.
Federer, H.: Geometric measure theory, Springer, 1969, p. 60; 62; 71; 108.
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French).
Gruber, P.M. and Lekkerkerker, CG.: Geometry of numbers, North-Holland, 1987.
Rockafellar, R.T.: Convex analysis, Princeton Univ. Press, 1970.
Schneider, R.: ‘Boundary structure and curvature of convex bodies’, in J. Tölke and J.M. Wills (eds.): Contributions to Geometry, Birkhäuser, 1979, pp. 13–59.
Stoer, J. and Witzgall, Ch.: Convexity and optimization in finite dimensions, 1, Springer, 1970.
Lindenstrauss, J. and Milman, V.D. (eds.): Geometric aspects of functional analysis, Lecture notes in math., 1376, Springer, 1988.
Stoker, J.J.: Differential geometry, Wiley (Interscience), 1969.
Thorpe, J.A.: Elementary topics in differential geometry, Springer, 1979.
Ilin, V.A. and Poznyak, E.G.: Fundamentals of mathematical analysis, 1–2, Mir, 1982 (translated from the Russian).
Kudryavtsev, L.D.: Mathematical analysis, Moscow, 1973 (in Russian).
Nikol’skiĭ, S.M.: A course of mathematical analysis, 1–2, Mir, 1977 (translated from the Russian).
Dubrovin, B.A., Novikov, S.P. and Fomenko, A.T.: Modem geometry, Springer, 1987 (translated from the Russian).
Mishchenko, A.S. and Fomenko, A.T.: A course of differential geometry and topology, Mir, 1988 (translated from the Russian).
Shilov, G.E.: Mathematical analysis, 1–2, M.I.T., 1974 (translated from the Russian).
Apostol, T.: Calculus, 2, Waltham, 1969.
Apostol, T.: Mathematical analysis, Addison-Wesley, 1974.
Berger, M. and Gostiaux, B.: Differential geometry: manifolds, curves and surfaces, Springer, 1988 (translated from the French).
Spvak, M.: A comprehensive introduction to differential geometry, 1–5, Publish or Perish, 1979.
Stoker, J.J.: Differential geometry, Wiley (Interscience), 1969.
Struik, D.J.: Lectures on classical differential geometry, Addison-Wesley, 1961.
Buck, R.C.: Advanced calculus, McGraw-Hill, 1965.
Fleming, W.: Functions of several variables, Springer, 1977.
Marsden, J. and Weinstein, A.: Calculus, 3, Springer, 1988.
Berger, M. and Gostiaux, B.: Differential geometry, Springer, 1988 (translated from the French).
Coxeter, H.: Introduction to geometry, Wiley, 1963.
Do Carmo, M.: Differential geometry of curves and surfaces, Prentice Hall, 1976.
Berger, M.: Geometry, 2, Springer, 1989 (translated from the French).
Hilbert, D. and Cohn-Vossen, S.E.: Geometry and the imagination, Chelsea, reprint, 1952 (translated from the German).
Brink, R.W.: Analytic geometry, Appleton-Century, 1935.
Pogorelov, A.V.: Geometry, Moscow, 1987 (in Russian).
Pogorelov, A.V.: Analytical geometry, Moscow, 1980 (in Russian).
Kellog, O.D.: Foundations of potential theory, Dover, reprint, 1953.
Alling, N.L.: Foundations of analysis over surreal number fields, North-Holland, 1987.
Conway, J.H.: On numbers and games, Acad. Press, 1976.
Cuesta Dutari, N.: ‘Algebra ordinal’, Rev. Acad. Ciencis. Madrid 48 (1954), 103–145.
Gonshor, H.: An introduction to the theory of surreal numbers, Cambridge Univ. Press, 1986.
Hahn, H.: ‘Über die nichtarchimedischen Grossensysteme’, S. Ber. Akad. Wiss. Wien, Math. Naturw. Abt. lla 116 (1907), 601–655.
Kelley, J.E.: General topology, van Nostrand, 1955.
Knuth, D.E.: Surreal numbers, Addison Wesley, 1974.
Comfort, W.W. and Negrepontis, S.: Chain conditions in topology, Cambridge Univ. Press, 1982.
Souslin, M. [M.Ya. Suslin]: ‘Problème 3’, Fundam. Math. 1 (1920), 223.
Devlin, K.J. and Johnsbråten, H.: The Sous/in problem, Lecture notes in math., 405, Springer, 1974.
Jech, T.: Lectures in set theory, with particular emphasis on the method of forcing, Lecture notes in math., 217, Springer, 1971.
Barwise, J. (ed.): Handbook of mathematical logic, North-Holland, 1977, Chapts. B4-B7.
Devlin, K.J.: Aspects of constructibility, Lecture notes in math., 354, Springer, 1973.
Fedorchuk, V.V.: ‘Completely closed mappings and the compatibility of certain general topology theorems with the axioms of set theory’, Mat. Sb. 99, no. 1 (1976), 3–33 (in Russian).
Martin, D.A. and Solovay, R.: ‘Internal Cohen extensions’, Ann. Math. Logic 2 (1970), 143–178.
Malykhin, V.I.: ‘Topology and forcing’, Russian Math. Surveys 38, no. 1 (1983), 77–136. (Uspekhi Mat. Nauk 38, no. 1 (1983), 69–118).
Devlin, K.J.: Constructibility, Springer, 1984.
Fremlin, D.H.: Consequences of Martin’s axiom, Cambridge Univ. Press, 1984.
Jech, T.J.: Multiple forcing, Cambridge Univ. Press, 1986.
Jech, T.J.: Set theory, Acad. Press, 1978.
Kunen, K.: Set theory. An introduction to independence proofs, North-Holland, 1980.
Souslin, M. [M.Ya. Suslin]: ‘Problème 3’, Fundam. Mat. 1 (1920), 223.
Souslin, M. [M.Ya. Suslin]: ‘Sur une définition des ensembles mesurables B sans nombres transfinis’, C.R. Acacl. Sci. Paris 164 (1917), 88–91.
Alexandroff, P.S. [P.S. Aleksandrov]: ‘Sur la puissance des ensembles mesurables B’, C.R. Acad. Sci. Paris 162 (1916), 323–325.
Keldysh, L.V. and Novikov, P.S.: ‘The work of N.N. Luzin in the domain of the descriptive theory of sets’, Uspekhi Mat. Nauk 8, no. 2 (1953), 93–104 (in Russian).
Luzin, N.N.: Collected works, 2, Moscow, 1958 (in Russian).
Hausdorff, F.: Grundzüge der Mengenlehre, Leipzig, 1914. Reprinted (incomplete) English translation: Set theory, Chelsea (1978).
Rogers, C.A., Jayne, J.E., Dellacherie, C., Tøpsoe, F., Hoffman-Jørgensen, J., Martin, D.A., Kechris, A.S. and Stone, A.H.: Analytic sets, Acad. Press, 1980.
Hausdorff, F.: ‘Die Mächtigkeit der Boreischen Mengen’, Math. Ann. 77 (1916), 430–437.
Moschovakis, Y.N.: Descriptive set theory, North-Holland, 1980.
Switzer, R.M.: Algebraic topology — homotopy and homology, Springer, 1975, Chapt. 2.
Higman, G.: ‘Suzuki 2-groups’, Ill. J. Math. 7, no. 1 (1963), 79–96.
Suzuki, M.: ‘On a class of doubly transitive groups’, Ann. of Math. 75, no. 1 (1962), 105–145.
Carter, R.: Simple groups of Lie type, Wiley (Interscience), 1972.
Tits, J.: ‘Ovoïdes et groupes de Suzuki’, Arch. Math. 13 (1962), 187–198.
Tits, J.: ‘Une propriété charactéristique des ovoïdes associés aux groupes de Suzuki’, Arch. Math. 17 (1966), 136–153.
Hupplrt, B. and Blackburn, N.: Finite groups, 3, Springer, 1982, Chapt. IX.3.
Conway, J.H., et al.: Atlas of finite groups, Clarendon Press, 1985.
Aleksandrov, A.D. and Strel’tsov, V.V.: Tsoperimetric problems and estimates of the length of a curve on a surface’, Proc. Steklov Inst. Math. 76 (1965), 81–99. (Trudy Mat. Inst. Steklov. 76 (1965), 67–80).
Busemann, H.: Convex surfaces, Interscience, 1958, Chapt. III, Sect. 15.
Kurosh, A.G.: The theory of groups, 2, Chelsea, 1960, p. 195ff (translated from the Russian).
Hall, P.: ‘On the Sylow systems of a soluble group’, Proc. London Math. Soc. 43 (1937), 316–323.
Kargapolov, M.I. and Merzljakov, J.I. [Yu.I. Mer-zlyakov]: Fundamentals of the theory of groups, Springer, 1979 (translated from the Russian).
Shemetkov, L.A.: Two directions in the development of the theory of non-simple finite groups’, Russian Math. Surveys 30, no. 2 (1975), 185–206. (Uspekhi Mat. Nauk 30, no. 2 (1975), 179–198)
Suzuki, M.: Group theory, 1, Springer, 1982.
Huppert, B.: Endliche Gruppen, 1, Springer, 1974.
Sylow, L.: Théorèmes sur les groupes de substitutions’, Math. Ann. 5(1872), 584–594.
Hall, M.: The theory of groups, Macmillan, 1959.
Berezin, F.A.: The method of second quantization, Acad. Press, 1966 (translated from the Russian).
Maslov, V.P.: Operator methods, MIR, 1976 (translated from the Russian).
Shubin, M.A.: Pseudodifferential operators and spectral theory. Springer, 1987 (translated from the Russian).
Berezin, F.A.: ‘Wick and anti-Wick operator symbols’, Math. USSR Sb. 15, no. 4 (1970), 577–606.
Berezin, F.A.: ‘Wick and anti-Wick operator symbols’, (Mat. Sb. 86, no. 4 (1971), 578–610)
Boutet de Monvel, L.: ‘Boundary problems for pseudo-differential operators’. Acta Math. 126 (1971), 11–51.
Rempel, S. and Schulze, B.-W.: Index theory of elliptic boundary problems, Akad. Verlag, 1982 (translated from the German).
Grubb, G.: Functional calculus of pseudo-differential boundary problems, Birkhäuser, 1986.
Krupnik, N.Ya.: Banach algebras with symbol and singular integral operators, Birkhäuser, 1987 (translated from the Russian).
Mikhlin, S.G. and Prössdorf, S.: Singular integral operators, Akad. Verlag, 1986 (translated from the Russian).
Boutet de Monvel, L.: A course on pseudodifferential operators and their applications, Math. Dept. Duke University, 1976.
Taylor, M.E.: Pseudodifferential operators, Princeton Univ. Press, 1981.
Hörmander, L.: The analysis of linear partial differential operators, 3, Springer, 1985.
Plamenevskiĭ, B.A.: Algebras of pseudodifferential operators, Kluwer, 1989 (translated from the Russian).
Alekseev, V.M.: Symbolic dynamics. Eleventh Summer School in Math., 1, Kiev, 1976 (in Russian).
Bowen, R.: Equilibrium states and the ergodic theory of Anosov diffeomorphisms. Lecture notes in math., 470, Springer, 1975.
Adler, R.L., Coppersmith, D. and Hassner, M.: Algorithms for sliding block codes’, IEEE Trans. Inform. Theory 219 (1983), 5–22.
Adler, R.L. and Marcus, B.: ‘Topological entropy and equivalence of dynamical systems’, Mem. Amer. Math. Soc. 219 (1979).
Adler, R.L. and Weiss, B.: ‘Similarity of automorphisms of the torus’, Mem. Amer. Math. Soc. 98 (1970).
Alekseev, V.M. and Yakobson, M.V.: ‘Symbolic dynamics and hyperbolic dynamic systems’, Physics Reports 75, no. 5(1981), 287–325.
Weiss, B.: ‘Subshifts of finite type and sofic systems’, Monatsh. Math. 77 (1973), 462–474.
Bowen, R.: ‘Markov partitions for Axiom A diffeomorphisms’, Amer. J. Math. 92 (1970), 725–747.
Boyle, M. and Krieger, W.: ‘Almost Markov and shift equivalent sofic systems’, in J.C. Alexander (ed.): Dynamical Systems, Springer, 1988, pp. 33–93.
Boyle, M., Marcus, B. and Trow, P.: ‘Resolving maps and the dimension group for shifts of finite type’, Mem. Amer. Math. Soc. 377 (1987).
Denker, M., Grillenberger, C. and Sigmund, K.: Ergodic theory on compact spaces, Springer, 1976.
Gottschalk, W.H. and Hedlund, G.H.: Topological dynamics, Amer. Math. Soc., 1955.
Hedlund, G.H.: ‘Endomorphisms and automorphisms of the shift dynamical system’, Math. Systems Theory 3 (1969), 320–375.
Hedlund, G.H. and Morse, M.: ‘Symbolic dynamics I’, Amer. J. Math. 60 (1938), 815–866.
Hedlund, G.H. and Morse, M.: ‘Symbolic dynamics II’, Amer. J. Math. 62 (1940), 1–42.
Jacobs, K. and Keane, M.: ‘0–1 sequences of Toeplitz type’, Z Warsch. verw. Geb. 13 (1969), 123–131.
del Junco, A., Keane, M., Kitchens, B., Marcus, B. and Swanson, L.: ‘Continuous homomorphisms of Bernoulli schemes’, in A. Katok (ed.): Ergodic Theory and Dynamical Systems, Birkhauser, 1981, pp. 91–111.
Kakutanl S.: ‘Ergodic theory of shift transformations’, in L. Le Cam and J. Neyman (eds.): Proc. 5th Berkeley Symp. Math. Probab. Stat. II, Univ. Calif. Press, 1967, pp. 405–414.
Kakutanl S.: ‘Strictly ergodic symbolic dynamical systems’, in L. Le Cam, J. Neyman and E.L. Scott (eds.): Proc. 6th Berkeley Symp. Math. Probab. Stat. II, Univ. Calif. Press, 1972, pp. 319–326.
M. Keane: ‘Generalized Morse sequences’, Z. Warsch. verw. Geb. 10 (1968), 335–353.
Krieger, W.: ‘On sofic systems I’, Israel J. Math. 48 (1984), 305–330.
Krieger, W.: ‘On sofic systems II’, Israel J. Math. 60 (1987), 167–176.
Marcus, B.: ‘Sofic systems and encoding data’, IEEE Trans. Inform. Theory 31 (1985), 366–377.
Milnor, J. and Thurston, R.: ‘On iterated maps of the interval’, in J.C. Alexander (ed.): Dynamical Systems, Lecture notes in math., Vol. 1342, Springer, 1988, pp. 465–563.
Morse, M.: ‘Recurrent geodesics on a surface of negative curvature’, Amer. J. Math. 43 (1921), 33–51.
Ornstein, D. and Weiss, B.: ‘Geodesic flows are Bernoullian’, Israel J. Math. 14 (1973), 184–198.
Parry, W.S. and Tuncel, S.: Classification problems in ergodic theory, Cambridge Univ. Press, 1982.
Shields, P.: The theory of Bernoulli shifts, Univ. Chicago Press, 1973.
Shub, M.: Global stability of dynamical systems, Springer, 1987 (translated from the French).
Sinai, Ya.: ‘Markov partitions and C-diffeomorphisms’, Funct. Anal. Appl. 2, no. 1 (1968), 64–89.
Sinai, Ya.: ‘Markov partitions and C-diffeomorphisms’, (Funkts. Anal. Prilozh. 2, no. 1 (1968), 64–89)
Sinai, Ya.: ‘Construction of Markov partitions’, Funct. Anal. Appl. 2, no. 2 (1968), 70–80.
Sinai, Ya.: ‘Construction of Markov partitions’, (Funkts. Anal. Prilozh. 2, no. 3 (1968), 64–80)
Bourbaki, N.: Eléments de mathématique, 2. Algèbre, Hermann, 1964, Chapt. IV-VI.
Kostrikin, A.I. and Manin, Yu.I.: Linear algebra and geometry, Gordon & Breach, 1989 (translated from the Rusian).
Gallager, R.C.: Information theory and reliable communication, Wiley, 1968.
Saks, S.: Theory of the integrai Hafner, 1952 (translated from the Polish).
James, R.D.: ‘Generalized nth primitives’. Trans. Amer. Math. Soc. 76, no. 1 (1954). 149–176.
Rudin, W.: Real and complex analysis, McGraw-Hill, 1974.
Meschkowski, H.: Differenzengleichungen, Vandenhoeck & Ruprecht, 1959.
Milne-Thomson, L.N.: The calculus of finite differences, Chelsea, reprint, 1981.
Nörlund, N.E.: Vorlesungen über Differenzenrechnung, Chelsea, reprint, 1954.
Kuratowski, K.: Introduction to set theory and topology, Pergamon, 1961, p. 34, 35 (translated from the French).
Siegel, C.L.: Automorphe Funktionen in mehrerer Variablen, Math. Inst. Göttingen, 1955.
Pyatetskiĭ-Shapiro, I.I.: Automorphic functions and the geometry of classical domains, Gordon & Breach, 1969 (translated from the Russian).
Cartan, E.: ‘Domains bornés homogènes de l’espace de n variables complexes’, Abh. Math. Sem. Univ. Hamburg 1 (1935), 116–162.
Drucker, D.: Exceptional Lie algebras and the structure of hermitian symmetric spaces, Amer. Math. Soc., 1978.
Helgason, S.: Differential geometry, Lie groups, and symmetric spaces, Acad. Press, 1978.
Waerden, B.L. van der: Algebra, 1–2, Springer, 1967–1971 (translated from the German).
Yablonskiĭ, S.V.: Introduction to discrete mathematics, Moscow, 1979 (in Russian).
Glaeser, G.: ‘Fonctions composées différentiables’, Ann. of Math. 77 (1963), 193–209.
Schwarz, G.: ‘Smooth functions invariant under the action of a compact Lie group’, Topology 14 (1975), 63–68.
Golubitsky, M. and Guillemin, V.: Stable mappings and their singularities, Springer, 1973, p. 108ff.
Poénaru, V.: Singularités C∞ en présence de Symmetrie, Springer, 1976, pp. 3–58.
Kaluzhnin, L.A. and Klin, M.Kh.: ‘On certain maximal subgroups of symmetric and alternating groups’, Math. USSR Sb. 16, no. 1 (1972), 95–123.
Kaluzhnin, L.A. and Klin, M.Kh.: ‘On certain maximal subgroups of symmetric and alternating groups’, (Mat. Sb. 87, no. 1 (1972), 91–121)
Ore, O.: Theory of graphs, Amer. Math. Soc., 1962.
Plotkin, B.I.: Groups of automorphisms of algebraic systems, Wolters-Noordhoff, 1972 (translated from the Russian).
Ustimenko-BakumovskiĬ, V.A.: ‘Maximality of the group PΓL n (q) acting on subspaces of dimension m’, Soviet Math. Dokl. 19, no. 3 (1978), 769–772.
Ustimenko-BakumovskiĬ, V.A.: ‘Maximality of the group PΓL n (q) acting on subspaces of dimension m’, (Dokl. Akad. Nauk SSSR 240, no. 6 (1978), 1305–1308)
Aschbacher, I.M. and Scott, L.L.: ‘Maximal subgroups of finite groups’, J. Algebra (1985), 44–80.
Wielandt, H.: Finite permutation groups, Acad. Press, 1964.
Passman, D.: Permutation groups, Benjamin, 1968.
Gantmacher, F.R. [F.R. Gantmakher]: Theory of matrices, Chelsea, reprint, 1959–1960, Vol. 1, Chapt. IX; Vol. 2, Chapt. XI (translated from the Russian).
Noll, W.: Finite dimensional spaces, Nijhoff, 1987, Sect. 2.7.
Liusternik, L.A. [L.A. Lyusternik] and Sobolev, V.I.: Elements of functional analysis, F. Ungar, 1961 (translated from the Russian).
Riesz, F. and Szökefalvi-Nagy, B.: Leçons d’analyse fonctionelle, Akad. Kiadó, 1955.
Akhiezer, N.I. and Glazman, I.M.: Theory of linear operators in Hilbert space, 1–2, Pitman, 1980 (translated from the Russian).
Kurosh, A.G.: Higher algebra. Mir. 1972 (translated from the Russian).
Kostrikin, A.I.: Introduction to algebra. Springer, 1982 (translated from the Russian).
Mishina, A.P. and Proskuryakov, I.V.: Higher algebra, Moscow. 1965 (in Russian).
Jacobson, N.: Basic algebra, Freeman, 1974.
Kurosh, A.G.: An introduction to algebra, Mir, 1971 (translated from the Russian).
Waerden, B.L. van der: Algebra, 1, Springer, 1967–1971 (translated from the German).
Littlewood, D.E.: The theory of group characters and matrix representations of groups, Clarendon Press, 1950.
Poénaru, V.: Singularités C∞ en présence de Symmétrie, Springer, 1976, p. 14ff.
Cohn, P.M.: Algebra, 1, Wiley, 1982, p. 181.
Shirokov, P.A.: Selected works on geometry, Kazan’, 1966 (in Russian).
Cartan, E.: ‘Sur une classe rémarkable d’espaces de Riemann’, Bull. Soc. Math. France 54 (1926), 214–264.
Cartan, E.: ‘Sur une classe rémarkable d’espaces de Riemann’, Bull. Soc. Math. France 55 (1927), 114–134.
Berger, M.: ‘Les espaces symmétriques noncompacts’, Ann. Sci. École Norm. Sup. 74 (1957), 85–177.
Loos, O.: Symmetric spaces, 1–2, Benjamin, 1969.
Helgason, S.: Differential geometry, Lie groups, and symmetric-spaces, Acad. Press, 1978.
Besse, A.: Einstein manifolds, Springer, 1987.
Rosenfeld, B.A. [B.A. Rozenfel’d]: A history of non-Euclidean geometry, Springer, 1988 (translated from theRussian).
Brand, L.: Vector and tensor analysis, Wiley, 1947.
Nelson, E.: Tensor analysis, Princeton Univ. Press, 1967.
Spain, B.: Tensor calculus, Oliver & Boyd, 1953.
Blaschke, W.: Kreis und Kugel, Chelsea, reprint, 1949.
Hadwiger, H.: Vorlesungen über Inhalt, Oberfläche und Isoperimetrie, Springer, 1957.
Pólya, G. and Szegö, G.: Isoperimetric inequalities in mathematical physics, Princeton Univ. Press, 1951.
Leichtweiss, K.: Konvexe Mengen, Springer, 1979.
Bandle, C.: ‘Isoperimetric inequalities’, in P.M. Gruber and J.M. Wills (eds.): Convexity and Its Applications, Birkhäuser, 1983, pp. 30–48.
Eggleston, H.G.: Convexity, Cambridge Univ. Press, 1963.
Benson, R.V.: Euclidean geometry and convexity, McGraw-Hill, 1966.
Weyl, H.: The classical groups, Princeton Univ. Press, 1946, p. 120.
Marcus, M.: Finite dimensional multilinear algebra, 1, M. Dekker, 1973, p. 78ff.
Faber, G.: ‘Ueber Potentialtheorie und konforme Abbildung’, Sirzungsber. Bayer. Akad. Wiss. Math.-Naturwiss. Kl. 20 (1920). 49–64.
Beurling, A.: ‘Etudes sur un problème de majoration’, in L. Carleson, et al. (ed.): Collected Works, Birkhäuser, 1989, pp. 1–108. Thèse.
Pólya, G. and Szegö, G.: Isoperimetric inequalities in mathematical physics, Princeton Univ. Press. 1951.
Hayman, W.K.: Multivalent functions, Cambridge Univ. Press. 1958.
Jenkins, J.A.: Univalent functions and conformai mappings. Springer, 1958.
Goluzin, G.M.: Geometric theory of functions of a complex variable. Amer. Math. Soc., 1969 (translated from the Russian).
Shabat, B.V.: ‘On the theory of quasiconformal mappings in space’. Soviet Math. Dokl. 1, no. 3 (1960). 730–733.
Shabat, B.V.: ‘On the theory of quasiconformal mappings in space’. (Dokl. Akad. Nauk SSSR 132, no. 5 (1960). 1045–1048)
Gehring, F.W.: ‘Symmetrization of rings in space’. Trans.Amer. Math. Soc. 101, no. 3 (1961), 499–519.
Baernstein, A.: ‘Integral means, univalent functions and circular symmetrization’, Acta Math. 133 (1974), 139–169.
Shirokov, P.A.: Tensor calculus. Tensor algebra, Kazan’, 1961 (in Russian).
Beklemishev, D.V.: A course of analytical geometry and linear algebra, Moscow, 1971 (in Russian).
Schouten, J.A.: Tensor analysis for physicists, Cambridge Univ. Press, 1951.
Akivis, M.A. and Goldberg, V.V.: An introduction to linear algebra & tensors, Dover, reprint, 1977 (translated from the Russian).
Marcus, M.: Finite dimensional multilinear algebra, 1, M. Dekker, 1973, p. 77ff.
Shubnikov, A.V. and Koptsik, V.A.: Symmetry: in science and art, Plenum, 1974 (translated from the Russian).
Coxeter, H.S.M.: Introduction to geometry, Wiley, 1959.
Weyl, H.: Symmetry, Princeton Univ. Press, 1952 (translated from the German).
Schattschneider, D.: Visions of symmetry, Freeman, 1990.
Grünbaum, B. and Shephard, G.C.: Tilings and patterns, Freeman, 1986.
Coxeter, H.S.M.: Regular polytopes, Macmillan, 1963.
Cohn, P.M.: Algebra, 1, Wiley, 1982, p. 17ff.
Arkhangel’skiĭ, A.V. and Ponomarev, V.I.: Fundamentals of general topology: problems and exercises, Reidel, 1984 (translated from the Russian).
Nedev, S.I.: ‘o-metrizable spaces’, Trans. Moscow Math. Soc. 24 (1971), 213–247.
Nedev, S.I.: ‘o-metrizable spaces’, (Trudy Moskov. Mat. Obshch. 24 (1971), 201–236)
Schwarz, H.A.: Gesammelte mathematische Abhandlungen, 2, Springer, 1890.
Priwalow, I.I. [LI. Privalov]: Einführung in die Funktionentheorie, 1–3, Teubner, 1958–1959 (translated from the Russian).
Lavrent’ev, M.A. and Shabat, B.V.: Methoden der komplexen Funktionentheorie, Deutsch. Verlag Wissenschaft., 1967 (translated from the Russian).
Range, R.M.: Holomorphic functions and integral representations in several complex variables, Springer, 1986.
Carathéodory, C.: Theory of functions, 2, Chelsea, reprint, 1981.
Hille, E.: Analytic function theory, 2, Ginn, 1959.
Hajek, J. and Sidak, Z.: Theory of rank tests, Acad. Press, 1967.
Kendall, M.G. and Stuart, A.: The advanced theory of statistics, 2. Inference and relationships, Griffin, 1979.
Sternberg, S.: Lectures on differential geometry, Prentice-Hall, 1964.
Abraham, R. and Marsden, J.: Foundations of mechanics, Benjamin /Cummings, 1978.
Artin, E.: Geometric algebra, Interscience, 1957.
Bourbaki, N.: Algebra, Elements of mathematics, 1, Addison-Wesley & Hermann, 1974 (translated from the French).
Dieudonné, J.: La géométrie des groupes classiques, Springer, 1955.
Helgason, S.: Differential geometry and symmetric spaces, Acad. Press, 1962.
Chevalley, C.: Theory of Lie groups, 1, Princeton Univ. Press, 1946.
Kirillov, A.A.: Elements of the theory of representations, Springer, 1976 (translated from the Russian).
Guillemin, V. and Sternberg, S.: Geometric asymptotics, Amer. Math. Soc., 1977.
Chu, B.-Y.: ‘Symplectic homogeneous spaces’, Trans. Amer Math. Soc. 197(1974), 145–159.
Zwart, Ph.B. and Boothby, W.M.: ‘On compact, homogeneous symplectic manifolds’, Ann. Inst. Fourier 30, no. 1 (1980), 129–157.
Hurt, N.E.: Geometric quantization in action, Reidel, 1983.
Alekseevskiĭ, D.V., Vinogradov, A.M. and Lychagin, V.V.: The principal ideas and methods of differential geometry, Encycl. Math. Sc, 28, Springer, Forthcoming, Chapt. 4, Sect. 5 (translated from the Russian).
Rozenfel’d, B.A.: Non-Euclidean spaces, Moscow, 1969 (in Russian).
Veldkamp, F.D.: ‘Polar geometry’, Indag. Math. 21 (1959), 512–551.
Veldkamp, F.D.: ‘Polar geometry’, Indag. Math. 22 (1960), 207–212.
Tits, J.: Buildings of spherical type and finite BN-pairs, Lecture notes in math., 386, Springer, 1974.
Baer, R.: Linear algebra and projective geometry, Acad. Press, 1952.
Dieudonné, J.: La géométrie des groupes classiques, Springer, 1963.
Artin, E.: Geometric algebra, Intersciene, 1957.
O’Meara, O.T.: Symplectic groups, Amer. Math. Soc., 1978.
Weyl, H.: The classical groups, Princeton Univ. Press, 1946.
Coxeter, H.S.M.: Non-Euclidean geometry, Toronto Univ. Press, 1965, pp. 69–70.
Guillemin, V. and Sternberg, S.: Symplectic techniques in physics, Cambridge Univ. Press, 1984.
Hahn, A.J. and O’Meara, O.T.: The classical groups and K-theory, Springer, 1989.
Libermann, P. and Marle, C.M.: Symplectic geometry and analytical mechanics, Reidel, 1987 (translated from the French).
Sternberg, S.: Lectures on differential geometry, Prentice-Hall, 1964.
Godbillon, C.: Geometrie différentielle et mécanique analytique, Hermann, 1969.
Abraham, R. and Marsden, J.: Foundations of mechanics, Benjamin/Cummings, 1978.
Klingenberg, W.: Riemannian geometry, de Gruyter, 1982 (translated from the German).
Souriau, J.M.: Structure des systèmes dynamiques, Dunod, 1969.
Libermann, P. and Marle, C.M.: Sympiectic geometry and analytical mechanics, Reidel, 1987 (translated from the French).
Arnol’d, V.I.: Mathematical methods of classical mechanics, Springer, 1978 (translated from the Russian).
Arnol’d, V.I. and Givental’, A.B.: Sympiectic geometry, Dynamical Systems, IV, Springer, 1990 (translated from the Russian).
Crumeyrolle, A. and Grifone, J (eds.): Sympiectic geometry, Pitman, 1983.
Church, A.: Introduction to mathematical logic, 1, Princeton Univ. Press, 1956.
Tesnière, L.: Eléments de syntaxe structurale, Paris, 1965.
Paducheva, E.V.: Vopros. Yazykozn. 2 (1964), 99–113.
Gladkiĭ, A.V.: Nauchno-Tekhn. Inform. (2) 9 (1971), 35–38.
Gladkiĭ, A.V.: Formal grammars and languages, Moscow, 1973 (in Russian).
Gladkiĭ, A.V.: Slavica 17, 18 (1981).
Carnap, R.: The logical syntax of language, Kegan Paul, Trench & Truber, 1937 (translated from the German).
Church, A.: Introduction to mathematical logic, 1, Princeton Univ. Press, 1956.
Kleene, S.C.: Introduction to metamathematics, North-Holland, 1951.
Lupanov, O.B.: ‘On a certain approach to the synthesis of control systems — the local coding principle’, Probl. Kibernet. 14 (1965), 31–110 (in Russian).
Yablonskiĭ, S.V.: ‘On algorithmic difficulties in designing minimal control circuits’, Probl. Kibernet. 2 (1959), 75–121
Pippenger, N.: The complexity of monotone Boolean functions’, Math. Syst. Theory 11 (1978), 289–316.
Razborov, A.A.: ‘Lower bounds for the monotone complexity of some Boolean functions’, Soviet Math. Dokl. 31 (1985), 354–357.
Razborov, A.A.: ‘Lower bounds for the monotone complexity of some Boolean functions’, (Dokl. Akad. Nauk SSSR 281, no. 4 (1985), 798–801)
Savage, J.: The complexity of computing, Wiley, 1976.
Wegener, I.: The complexity of Boolean functions, Wiley & Teubner, 1987.
Lindquist, A. and Picci, G.: ‘State space models for Gaussian stochastic processes’, in M. Hazewinkel and J.C. Willems (eds.): Stochastic Systems: Math. of Filtering and Identification and Appl., Reidel, 1981, pp. 169–204.
DeWilde, P., Fokkema, J.T. and Widya, I: ‘Inverse scattering and linear prediction’, in M. Hazewinkel and J.C. Willems (eds.): Stochastic Systems: Math. of Filtering and Identification and Appl., Reidel, 1981, pp. 307–350.
Hazewinkel, M.: ‘(Fine) moduli spaces for linear systems: what are they and what are they good for’, in C.I. Byrnes and C.F. Martin (eds.): Geometrical Methods for the Theory of Linear Systems, Reidel, 1980, pp. 125–193.
Zemanian, A.H.: Realizability theory for continuous linear systems, Acad. Press, 1972.
Kalman, R.E., Falb, P.L. and Arbib, M.A.: Topics in mathematical systems theory, McGraw-Hill, 1969.
Jakubczyk, B.: ‘Realization theory for nonlinear systems: three approaches’, in M. Fliess and M. Hazewinkel (eds.): Algebraic and Geometric Methods in Nonlinear Control Theory, Reidel, 1986, pp. 3–32.
Bart, H., Gohberg, I. and Kaashoek, M.A.: Minimal factorization of matrix and operator functions, Birkhäuser, 1979.
Clancey, K. and Gohberg, I.: Factorization of matrix functions and singular integral operators, Birkhäuser, 1981.
Bart, H., Gohberg, I. and Kaashoek, M.A.: ‘Explicit Wiener-Hopf bifurcation and realization’, in I. Gohberg and M.A. Kaashoek (eds.): Constructive Methods of Wiener-Hopf Factorization, Birkhäuser, 1986, pp. 235–316.
Wonham, W.M.: Linear multivariable control, Springer, 1974.
Sontag, E.D.: Mathematical control theory, Springer, 1990.
Lie, S.: ‘Allgemeine Theorie der partiellen Differentialgleichungen erster Ordnung’, Math. Ann. 9 (1876), 245–296.
Lawvere, F.W.: ‘Categorical dynamics’, in A. Kock (ed.): Topos Theoretic Methods in Geometry, Aarhus Univ., 1979, pp. 1–28.
Dubuc, E.: ‘C∞-schemes’, Amer. J. Math. 103 (1981), 683–690.
Moerdijk, I. and Reyes, G.E.: ‘A smooth version of the Zariski topos’, Adv. Math. 65 (1987), 229–253.
Lavendhomme, R.: Leçons de la géométrie différentielle synthétique naive, Univ. Louvain, 1987.
Robinson, A.: Non-standard analysis, North-Holland, 1966.
Kock, A.: Synthetic differential geometry, Cambridge Univ. Press, 1981.
Moerdijk, I. and Reyes, G.E.: Models for smooth infinitesimal analysis, Springer, 1991.
Spanier, E.H.: Algebraic topology, McGraw-Hill, 1966.
Mitchell, B.: Theory of categories, Acad. Press, 1965.
Pöschel, R. and Kalužnin, L.A. [L.A. Kaluzhnin]: Funktionen- und Relationenalgebren, Deutsch. Verlag Wissenschaft., 1979 (translated from the Russian).
Hall, M.: Combinatorial theory, Wiley, 1986.
Ryser, H.J.: Combinatorial mathematics, Math. Assoc. Amer., 1963.
Mirsky, L.: Transversal theory, Acad. Press, 1971.
Aigner, M.: Combinatorial theory, Springer, 1979.
Hall, M.: Combinatorial theory, Wiley, 1986.
Mirsky, L.: Transversal theory, Acad. Press, 1971.
Tarakanov, V.E.: ‘On systems of representatives’, in Problems of Cybernetics, Vol. 16, Moscow, 1975, pp. 110–124 (in Russian).
Ryser, H.J.: Combinatorial mathematics, Math. Assoc. Amer., 1963.
Welsh, D.J.A.: Matroid theory, Acad. Press, 1976.
Aigner, M.: Combinatorial theory, Springer, 1979.
Postnikov, M.M.: Analytic geometry, Moscow (in Russian).
Coolidge, J.L.: A treatise on the circle and the sphere, Chelsea, reprint, 1971.
Hu, S.-T.: Differentiate manifolds, Holt, Rinehart & Winston, 1969.
Morrow, J. and Kodaira, K.: Complex manifolds, Holt, Rinehart & Winston, 1971.
Berger, M.: Geometry, Springer, 1987 (translated from the French).
Coolidge, J.: A history of the conic sections and quadratic surfaces, Dover, reprint, 1968.
Coxeter, H.: Introduction to geometry, Wiley, 1963.
Griffiths, P. and Harris, S.: Principles of algebraic geometry, Wiley, 1978.
Gantmacher, F.R. [F.R. Gantmakher]: The theory of matrices, 2, Chelsea, reprint, 1959, Chapt. XII (translated from the Russian).
Kronecker, L.: ‘Algebraische Reduktion der Schaaren bilinearer Formen’, Sitzungsber. Akad. Berlin (1890), 763–776.
Hazewinkel, M.: ‘A partial survey of the uses of algebraic geometry in system and control theory’, in Symp. Math. INDAM, Rome 1979, Vol. 24, Acad. Press, 1981, pp. 245–292.
Kalman, R.E.: ‘Kronecker invariants and feedback’, in L. Weiss (ed.): Ordinary Differential Equations, Acad. Press, 1972, pp. 459–471.
Goldberg, V.V.: Theory of multicodimensional webs, Kluwer, 1988.
Severi, F.: Vorlesungen über algebraische Geometrie, Johnson, reprint, 1968.
Brooks, F.: The mythical man-month, essays on software engineering, Addison-Wesley, 1975.
Tanenbaum, A.S.: Structured computer organization, Prentice Hall, 1976.
Stallings, W.: Computer organization and architecture, Macmillan, 1990.
Bourbaki, N.: Elements of mathematics. Algebra: Algebraic structures. Linear algebra, 1, Addison-Wesley, 1974, Chapt.1;2 (translated from the French).
Gel’fand, I.M.: Lectures on linear algebra, Interscience, 1961 (translated from the Russian).
Kostrikin, A.N. and Manin, Yu.I.: Linear algebra and geometry, Gordon & Breach, 1989 (translated from the Russian).
Postnikov, M.M.: Linear algebra and differential geometry, Moscow, 1979 (in Russian).
Rashewski, P.K. [P.K. Rashevskiǐ]: Riemannsche Geometrie und Tensoranalyse, Deutsch. Verlag Wissenschaft., 1959 (translated from the Russian).
Bourbaki, N.: Elements of mathematics. Algebra: Algebraic structures. Linear algebra, 1, Addison-Wesley, 1974, Chapt.1;2 (translated from the French).
Kasch, F.: Modules and rings, Acad. Press, 1982 (translated from the German).
Kostrikin, A.I. and Manin, Yu.I.: Linear algebra and geometry, Gordon & Breach, 1989 (translated from the Russian).
Bourbaki, N.: Elements of mathematics. Algebra: Algebraic structures. Linear algebra, 1, Addison-Wesley, 1974, Chapt.1;2 (translated from the French).
Halmos, P.R.: Finite-dimensional vector spaces, v. Nostrand, 1958.
Bourbaki, N.: Elements of mathematics. Algebra: Algebraic structures. Linear algebra, 1, Addison-Wesley, 1974, Chapt.1;2 (translated from the French).
Atiyah, M.F.: K-theory: lectures, Benjamin, 1967.
Schoenfield, J.R.: Mathematical logic, Addison-Wesley, 1967.
Hall, M.: ‘Projective planes’, Trans. Amer. Math. Soc. 54 (1943), 229–277.
Pickert, G.: Projektive Ebenen, Springer, 1975.
Hughes, D.R. and Piper, F.C.: Projective planes, Springer, 1973.
Andrunakievich, V.A. and Ryabukhin, Yu.M.: ‘The additive theory of ideals in systems with residuals’, Math. USSR Izv. 1, no. 5 (1967), 1011–1040. (Izv. Akad. Nauk SSSR Ser. Mat. 31, no. 5 (1967), 1057–1090)
Riley, J.A.: ‘Axiomatic primary and tertiary decomposition theory’, Trans. Amer. Math. Soc. 105 (1962), 117–201.
Yablonskiǐ, S.V. and Chegis, I.A.: ‘On tests for electric circuits’, Uspekhi Mat. Nauk 10, no. 4 (1955), 182–184 (in Russian).
Solov’ev, N.A.: Tests, Novosibirsk, 1978 (in Russian).
Dmitriev, A.N., Zhuravlev, Yu.I. and Krendelev, F.P.: ‘On mathematical principles of classification of objects and events’, Diskretn. Anal. 7 (1966), 3–15 (in Russian).
Batchelor, B.G.: Pattern recognition, Plenum, 1978.
Clark, K.L. and Cowell, D.F.: Programs, machines, and computation, McGraw-Hill, 1976.
Duda, O. and Hart, P.E.: Pattern classification and scene analysis, Wiley, 1973.
Nelson, R.J.: Introduction to automata, Wiley, 1968.
Trakhtenbrot, B.A. and Bardzdin’, Ya.M.: Finite automata, North-Holland, 1973.
Weihrauch, K.: Computability, Springer, 1987.
Clifford, W.K.: ‘On the powers of spheres’, in Mathematical Papers, Macmillan, 1882, pp. 332–336.
Darboux, G.: ‘Sur les rélations entre les groupes de points, de circles et de sphères dans le plan et dans l’espace’, Ann. Ecole Norm. Sup. 1 (1872), 323–392.
Klein, F.: Vorlesungen über höhere Geometrie, Chelsea, reprint, 1949.
Lachlan, R.: ‘On systems of circles and spheres’, Philos. Trans. Royal Soc. London A 177 (1886), 481–625.
Coolidge, J.L.: A treatise on the circle and the sphere, Clarendon Press, 1916.
Woods, F.G.: Higher geometry, Ginn, 1922.
Wilker, J.B.: ‘Inversive geometry’, in C. Davis, B. Grünbaum and F.A. Sherk (eds.): The Geometric Vein, Springer, 1980, pp. 374–442.
Coxeter, H.S.M.: Introduction to geometry, Wiley, 1969, §6.4, §6.8.
Coxeter, H.S.M.: Regular polytopes, Dover, reprint, 1973, p. 183.
Coxeter, H.S.M.: Introduction to geometry, Wiley, 1969, p. 149; 185.
Senechal, M. and Fleck, G.: Shaping space, Birkhäuser, 1988, p. 5; 7; 100; 133; 175.
Kleene, S.C.: Introduction to metamathematics, North-Holland, 1951.
Shoenfield, J.R.: Mathematical logic, Addison-Wesley, 1967.
Glushkov, V.M. and Letichevskiǐ, A.A.: ‘Theory of algorithms and discrete processors’, Advances Inform. Systems Sci. 1 (1969), 1–58.
Ershov, A. P.: Origins of programming: discourses on methodology, Springer, 1990 (translated from the Russian).
Kotov, V.E.: Introduction to the theory of program schemes, Novosibirsk, 1978 (in Russian).
Gordon, M.J.C.: The denotational description of programming languages, Springer, 1979.
Lyapunov, A.A.: ‘On logical schemes of programs’, Probl. Kibernetiki 1 (1958), 46–74 (in Russian).
Hayashi, S. and Nakano, H.: PX: a computational logic, Cambridge Univ. Press, 1988.
Harel, D.: First-order dynamic logic, Lecture notes comp, sc, 68, Springer, 1979.
Donahue, J.E.: Complementary definitions of programming language semantics, Lecture notes comp, sc, 42, Springer, 1976.
Scott, D.S.: ‘Outline of a mathematical theory of computations’, in Proc. 4th Annual Princeton Conf. Information Sc. and Systems, Princeton Univ. Press, 1971, pp. 169–176.
Yanov, Yu.I.: ‘On logical schemes of algorithms’, Probl. Kibernetiki 1 (1958), 75–127 (in Russian).
Manna, Z.: Mathematical theory of computation, McGraw-Hill, 1974.
Apt, K.R.: ‘Ten years of Hoare’s logic, a survey, part I’, ACM TOPLAS 3 (1981), 431–483.
Apt, K.R.: ‘Ten years of Hoare’s logic, a survey, part II: non-determinism’, Theor. Computer Science 28 (1984), 83–109.
Bakker, J.W. de: Mathematical proof of program correctness, Princeton-Hall, 1980.
Harel, D.: ‘Dynamic logic’, in D. Gabbay and F. Guenthner (eds.): Handbook of Philosophical Logic, Vol. II, Reidel, 1984, pp. 497–604.
Stoy, J.E.: Denotational semantics: the Scott-Strachey approach to programming language theory, M.I.T., 1977.
Rashevskiǐ, P.K.: A course of differential geometry, Moscow, 1956 (in Russian).
Blaschke, W.: Vorlesungen über Differentialgeometrie und geometrische Grundlagen von Einsteins Relativitätstheorie. Elementare Differentialgeometrie, 1, Springer, 1921.
Norden, A.P.: The theory of surfaces, Moscow, 1956 (in Russian).
Kagan, V.F.: Foundations of the theory of surfaces in a tensor setting, 1–2, Moscow-Leningrad, 1947–1948 (in Russian).
Shulikovskiǐ, V.I.: Classical differential geometry in a tensor setting, Moscow, 1963 (in Russian).
Aleksandrov, A.D.: Die innere Geometrie der konvexen Flächen, Akademie-Verlag, 1955 (translated from the Russian).
Pogorelov, A. V.: Extrinsic geometry of convex surfaces. Amer. Math. Soc, 1972 (translated from the Russian).
Darboux, G.: Leçons sur la théorie générale des surfaces et ses applications géometriques du calcul infinitesimal, 1, Gauthier-Villars, 1887.
Bianchi, L.: Lezioni di geometría differenziale, 1–2, Zanichelli, Bologna, 1923–1927.
Pogorelov, A.V.: Intrinsic geometry of surfaces, Amer. Math. Soc, 1973 (translated from the Russian).
O’Neill, B.: Elementary differential geometry, Acad. Press, 1966.
Hilbert, D. and Cohn-Vossen, S.: Geometry and the imagination, Chelsea, reprint, 1952 (translated from the German).
Guggenheimer, H.: Differential geometry, McGraw-Hill, 1963.
Busemann, H.: The geometry of geodesics, Acad. Press, 1955.
Coxeter, H.: Introduction to geometry, Wiley, 1963.
Do Carmo, M.: Differential geometry of curves and surfaces, Prentice-Hall, 1976.
Berger, M. and Gostiaux, B.: Differential geometry: manifolds, curves, and surfaces, Springer, 1987 (translated from the French).
Spivak, M.: Differential geometry, I-V, Publish or Perish, 1970.
Chen, B.Y.: Geometry of submanifolds, M. Dekker, 1973.
Klingenberg, W.: A course in differential geometry, Springer, 1983 (translated from the German).
Cannon, J.R.: The one-dimensional heat equation, Addison-Wesley, 1984.
Carslaw, H.S. and Jaeger, J.C.: Conduction of heat in solids, Clarendon Press, 1945.
Cranck, J.: The mathematics of diffusion, Clarendon Press, 1975.
Friedman, A.: Partial differential equations of parabolic type, Prentice-Hall, 1964.
Jakob, M.: Heat transfer, 1–2, Wiley, 1975.
Ozisik, M.N.: Basic heat transfer, McGraw-Hill, 1977.
Widder, D.V.: The heat equation, Acad. Press, 1975.
Landau, L.D. and Lifshitz, E.M.: Statistical physics, Pergamon, 1959 (translated from the Russian).
Gel’fand, I.M. and Fomin, S.V.: Calculus of variations, Prentice-Hall, 1963 (translated from the Russian).
Ruelle, D.: Statistical mechanics: rigorous results, Benjamin, 1974.
Ruelle, D.: Statistical mechanics: rigorous results, Benjamin, 1974.
Gibbs states in statistical physics, Moscow, 1978 (in Russian; translated from the English).
Minlos, R.A.: ‘Lectures on statistical physics’, Russian Math. Surveys 23, no. 1 (1968), 137–196. (Uspekhi Mat. Nauk 23, no. 1 (1968), 133–190)
Gibbs, J.W.: Elementary principles in statistical mechanics, Dover, reprint, 1960.
Landau, L.D. and Lifshitz, E.M.: Statistical physics, Pergamon, 1980 (translated from the Russian).
Ruelle, D.: Thermodynamic formalism, Addison-Wesley, 1978.
Bazarov, I.P.: Thermodynamics, Moscow, 1983 (in Russian).
Kubo, R.: Thermodynamics, North-Holland, 1968.
Stanley, H.E.: Introduction to phase transitions and critical phenomena, Oxford Univ. Press, 1971.
Groot, S.R. de and Mazur, P.: Non-equilibrium thermodynamics, North-Holland, 1962.
Flügge, S. (ed.): Handbuch der Physik, Encyclopedia of Physics, 12. Thermodynamics of gases, Springer, 1958.
Serrin, J. (ed.): New perspectives in thermodynamics, Springer, 1986.
Siegel, C.L.: Topics in complex function theory, 2, Wiley-Interscience, 1971.
Griffiths, P.A. and Harris, J.: Principles of algebraic geometry, Wiley-Interscience, 1978.
Mumford, D.: Tata lectures on theta, 1–2, Birkhäuser, 1983–1984.
Mumford, D.: ‘On the equations defining abelian varieties I’, 1 (1966), 287–354, Invent. Math..
Mumford, D.: ‘On the equations defining abelian varieties II—III’, Invent. Math. 3 (1967), 71–135; 215–244.
Mumford, D.: Abelian varieties, Oxford Univ. Press, 1985.
Igusa, J.: Theta functions, Springer, 1972.
Gunning, R.C.: Riemann surfaces and generalized theta functions, Springer, 1976.
Fay, J.D.: Theta functions on Riemann surfaces, Springer, 1973.
Ford, L.R.: Automorphic functions, Chelsea, reprint, 1951.
Shafarevich, I.R.: Basic algebraic geometry, Springer, 1977 (translated from the Russian).
Fricke, R. and Klein, F.: Vorlesungen über die Theorie der automorphen Funktionen, Teubner, 1926.
Weil, A.: Elliptic functions according to Eisenstein and Kronecker, Springer, 1976.
Conway, J.H. and Sloane, N.J.A.: Sphere packings, lattices, and groups, Springer, 1988.
Gunning, R.C. and Rossi, H.: Analytic functions of several complex variables, Prentice Hall, 1965, Chapt. 1, Sect. C.
Range, R.M.: Holomorphic functions and integral representations in several complex variables, Springer, 1986, Chapt. 1, Sect. 3.
Brelot, M.: Eléments de la théorie classique du potentiel, Sorbonne Univ. Centre Doc. Univ., 1969.
Landkof, N.S.: Foundations of modem potential theory, Springer, 1972 (translated from the Russian).
Constantinescu, C. and Cornea, A.: Potential theory on harmonic spaces, Springer, 1972.
Friedman, A.: Partial differential equations of parabolic type, Prentice-Hall, 1964.
Thom, R.: ‘Topological models in biology’, Topology 8 (1969), 313–335.
Bröcker, P. and Lander, L.: Differentiable germs and catastrophes, Cambridge Univ. Press, 1975.
Poston, T. and Stewart, I.: Catastrophe theory and its applications, Pitman, 1978.
Thom, R.: Structural stability and morphogenesis, Benjamin, 1976 (translated from the French).
R. Thom: Mathematical models of morphogenesis, Wiley, 1983 (translated from the French).
Arnol’d, V.I.: Catastrophe theory, Springer, 1984 (translated from the Russian).
Zeeman, E.C.: Catastrophe theory, Addison-Wesley, 1977.
Switzer, R.M.: Algebraic topology — homotopy and homology, Springer, 1975.
Thom, R.: ‘Quelques propriétés globales des variétés difiérentiables’, Comm. Math. Helv. 28 (1954), 17–86.
Dold, A.: ‘Relations between ordinary and extraordinary homology’, in Coll. Algebraic Topol., Aarhus Univ., 1962, pp. 2–9.
Rudyak, Yu.B.: ‘On the Thom-Dold isomorphism for nonorientable bundles’, Soviet Math. Dokl. 22 (1980), 842–844. (Dokl. Akad. Nauk. SSSR 255, no. 6 (1980), 1323–1325)
Switzer, R.M.: Algebraic topology: homotopy and homology, Springer, 1975.
Thom, R.: ‘Quelques propriétés globales des variétés différentiables’, Comm. Math. Helv. 28 (1954), 17–86.
Stong, R.E.: Notes on cobordism theory, Princeton Univ. Press, 1968.
Browder, W.: Surgery on simply-connected manifolds, Springer, 1972.
Husemoller, D.: Fibre bundles, McGraw-Hill, A.
Atiyah, M.: ‘Thom complexes’, Proc. London Math. Soc. 11 (1961), 291–310.
Dieudonné, J.: A history of algebraic and differential topology: 1900–1960, Birkhäuser, 1989.
Mahowold, M.: ‘A new infinite family in 2Πa s’, Topology 16 (1977), 249–256.
Priddy, S.: ‘AT(Z/2) as a Thorn spectrum’, Proc. Amer. Math. Soc. 70, no. 2(1978), 207–208.
Mahowold, M.: ‘Ring spectra which are Thorn complexes’, Duke Math. J. 46, no. 3 (1979), 549–559.
Thompson, J.G.: ‘A replacement theorem for p-groups and a conjecture’, J. Algebra 13 (1969), 149–151.
Gorenstein, D.: Finite groups, Harper & Row, 1968.
Doerk, K. and Hawkes, T.: Finite soluble groups, de Gruyter, 1992, p. 214.
Engelking, R.: General topology, Heldermann, 1989.
Duboshin, G.N.: Celestial mechanics. Analytical and qualitative methods, Moscow, 1978 (in Russian).
Subbotin, M.F.: Introduction to theoretical astronomy, Moscow, 1968 (in Russian).
Arnol’d, V.I.: Mathematical methods of classical mechanics, Springer, 1978 (translated from the Russian).
Poincaré, H.: Les méthodes nouvelles de la mécanique céleste, 1–3, Gauthier-Villars, 1892–1899.
Arnold, V.I. and Avez, A.: Ergodic problems of classical mechanics, Benjamin, 1968 (translated from the Russian).
Siegel, C.L.: Vorlesungen über Himmelsmechanik, Springer, 1956.
Siegel, C.L. and Moser, J.: Lectures on celestial mechanics, Springer, 1971.
Abraham, R. and Marsden, J.: Foundations of mechanics, Benjamin/Cummings, 1978.
Editor information
Rights and permissions
Copyright information
© 1993 Kluwer Academic Publishers
About this chapter
Cite this chapter
Hazewinkel, M. (1993). S. In: Hazewinkel, M. (eds) Encyclopaedia of Mathematics. Encyclopaedia of Mathematics, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-1233-6_1
Download citation
DOI: https://doi.org/10.1007/978-94-015-1233-6_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-8238-1
Online ISBN: 978-94-015-1233-6
eBook Packages: Springer Book Archive