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Modern Operator Theory and Applications

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 170))

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Principal Publications of I.B. Simonenko

  1. The Riemann boundary value problem with a continuous coefficient, Dokl. Acad. Nauk SSSR, 124 (1959), no. 2, 278–281. (Russian)

    Google Scholar 

  2. On some integral-differential convolution type equations, Izv. Vyssh. Uchebn. Zaved. Mat., (1959), no. 2, 213–226. (Russian)

    Google Scholar 

  3. (with V.V. Ivanov) On the approximate searching of all solutions of a given linear equation in the Banach spaces, Dokl. Acad. Nauk SSSR, 126 (1959), no. 6, 1172–1175. (Russian)

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  4. A boundedness of singular integrals in Orlich spaces, Dokl. Acad. Nauk SSSR, 130 (1960), no. 5, 984–987. (Russian)

    Google Scholar 

  5. The Riemann boundary value problem with a measurable coefficient, Dokl. Acad. Nauk SSSR, 135 (1960), no. 3, 538–541. (Russian); English transl. in Soviet Math. Dokl., 1 (1960), 1295–1298.

    Google Scholar 

  6. The Riemann boundary value problem for n pairs of functions with continuous coefficients, Izv. Vyssh. Uchebn. Zaved. Mat., (1961), no. 1, 140–145. (Russian)

    Google Scholar 

  7. The Riemann boundary value problem for n pairs of functions with measurable coefficients and its application to the study of singular integrals on weighted Lp-spaces, Dokl. Acad. Nauk SSSR, 141 (1961), no. 1, 36–39. (Russian); English transl. in Soviet Math. Dokl. 2 (1961) 1391–1394.

    Google Scholar 

  8. On some boundary value problems of analytic functions, in “The investigations on modern problems of the theory of functions of complex variable” Moscow: Fizmatgiz, 1961, 392–398. (Russian)

    Google Scholar 

  9. The Riemann and Riemann-Gazemann boundary value problems with continuous coefficients, in “The investigation on modern problems of the theory of functions of complex variable” Moscow: Fizmatgiz, 1961, 380–388. (Russian)

    Google Scholar 

  10. On systems of convolution type equations, Izv. Vyssh. Uchebn. Zaved. Mat., (1962), no. 6, 119–130. (Russian)

    Google Scholar 

  11. Interpolation and extrapolation of linear operators in the Orlich spaces, Dokl. Acad. Nauk SSSR, 151, (1963), no. 6, 1288–1291. (Russian)

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  12. The Riemann boundary value problem for n pairs of functions with measurable coefficients and its application to the study of singular integrals in weighted spaces, Izv. Acad. Nauk SSSR Mat., 68 (1964), no. 2, 277–306. (Russian)

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  13. Interpolation and extrapolation of linear operators on the Orlich spaces, Mat. Sbornik, 63 (1964), no. 4, 536–553. (Russian)

    Google Scholar 

  14. On the maximal boundary property of functions possessing the integral representations of definite form, Mat. Sbornik, 65 (1964), no. 3, 390–398. (Russian)

    Google Scholar 

  15. On the maximal boundary property of functions possessing the integral representations of a definite form, Dokl. Acad. Nauk SSSR, 157, (1964), no. 6, 1301–1302. (Russian)

    Google Scholar 

  16. A theorem from the theory of commutative normed rings, Nauchn. soobshch. za 1963, Rostov-na-Donu: IRU, 1964, p. 19–20. (Russian)

    Google Scholar 

  17. A new general method for investigation of the linear operator equations of singular integral equation type, Dokl. Acad. Nauk SSSR Mat., 158 (1964), no. 4, 790–793. (Russian)

    Google Scholar 

  18. Singular integral equations with continuous and piecewise continuous symbols, Dokl. Acad. Nauk SSSR Mat., 159, no. 2, (1964), 279–282. (Russian)

    Google Scholar 

  19. (with A.I. Kravchenko, G.G. Bondarenko, N.F. Demin, G.P. Doroshenko, D.E. Sinelnikov) The investigation of horizontal static electric locomotive 2-2-2-track interaction, the work has been registered by the USSR Inventions and Discoveries State Committee at February, 20, 1964, no. 31118. (Russian)

    Google Scholar 

  20. (with V.P. Zaharuta, L.S. Shatskih, V.I. Yudovich) The Green function for domain with dielectric layer, Izv. Vyssh. Uchebn. Zaved. Electromekhanika, (1964), no. 9, 1052–1056. (Russian)

    Google Scholar 

  21. (with V.P. Zaharuta, V.I. Yudovich) Point charge method for capacity calculation, Izv. Vyssh. Uchebn. Zaved. Electromekhanika (1964), no. 11, 1305–1310. (Russian)

    Google Scholar 

  22. (with V.P. Zaharuta, V.I. Yudovich) Calculation of capacities of three infinite strips, Izv. Vyssh. Uchebn. Zaved. Electromehanika, (1965), no. 1, 20–23. (Russian)

    Google Scholar 

  23. (with V.P. Zaharuta, V.I. Yudovich) Approximate method of calculation of capacities of conductors’ systems situated on the dielectric layer, Izv. Vyssh. Uchebn. Zaved. Electromekhanika, (1965), no. 3, 247–253. (Russian)

    Google Scholar 

  24. (with V.P. Zaharuta, A.A. Chekulaeva, V.I. Yudovich) Capacity of the round disk on the dielectric layer, Izv. Vyssh. Uchebn. Zaved. Electromekhanika, (1965), no. 5, 487–494. (Russian)

    Google Scholar 

  25. (with V.P. Zaharuta, E.S. Chubukova, V.I. Yudovich) Capacity of two rectangles, Izv. Vyssh. Uchebn. Zaved. Electromekhanika, (1965), no. 5, 487–494. (Russian)

    Google Scholar 

  26. A new general method for investigation of linear operator equations of singular integral equation type. I, Izv. Acad. Nauk SSSR Mat. 29 (1965), no. 3, 567–586. (Russian)

    Google Scholar 

  27. A new general method for investigation of linear operator equations of singular integral equation type. II, Izv. Acad. Nauk SSSR Mat. 29 (1965), no. 4, 757–782. (Russian)

    Google Scholar 

  28. (with A.A. Chekulaeva) Computation of mutual capacities of the two and more than two disks on dielectric layer, Sbornik “Voprosi vichislitelnoy matematiki i vichislitelnoy tekhniki”, Rostov-na-Donu: IRU, 1965, 35–40. (Russian)

    Google Scholar 

  29. (with D.I. Zaks, N.P. Gaponenko) For the problem of calculation of heat regime of some solid circuits class, Spec. Sbornik, Izd-vo MViSSO RSFSR, 1966. (Russian)

    Google Scholar 

  30. (with S.M. Zenkovskaya) On the influence of high frequency vibration on the origin of convection, Mekhanika zhydkosti i gaza, 1966, no. 5, 51–56. (Russian)

    Google Scholar 

  31. (with V.V. Bublik, E.N. Bozdarenko) The method of calculation of electrostatic fields for the large thickness layer, Izv. Vyssh. Uchebn. Zaved. Electromekhanika, (1967), no. 5, 503–512. (Russian)

    Google Scholar 

  32. (with V.N. Ped) The steady-state problem of heat conductivity in the layer with heat transfer conduction on the boundaries, Prikladnaya Matematica i Mekhanika, 31 (1967), no. 2, 320–327. (Russian)

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  33. Convolution type operators in cones, Dokl. Acad. Nauk SSSR Mat., 176 (1967), no. 6, 1251–1254. (Russian); English transl. in Soviet Math. Dokl. 1967. V.8, N5. P. 1320–1323.

    Google Scholar 

  34. Operators of convolution type in cones, Mat. Sbornik., 74 (1967), no. 2, 298–313. (Russian); English transl. in Math. USSR Sbornik. 1967. V.3, N2. P. 279–193.

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  35. (with L.O. Rode) Multidimensional singular integrals in the classes of highest general modules of smoothness, Sib. Math. Zhurnal, 9 (1968), no. 4, 928–936. (Russian).

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  36. On the multidimensional discrete convolutions, Mat. Issled., Kishinev: Shtiintsa, 3 (1968), no. 1, 108–122. (Russian)

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  37. Some general questions of the theory of the Riemann boundary value problem, Izv. Acad. Nauk SSSR Mat, 32 (1968), no. 5, 1138–1146. (Russian)

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  38. (with V.N. Semenuta) On the indices of multidimensional discrete convolutions, Mat. Issled., Kishinev: Shtiintsa, 4:2(12), (1969), 88–94. (Russian)

    Google Scholar 

  39. A justification of the averaging method for convection problem, Mat. Analiz i ego Prilozhenia, Rostov-on-Don: IRU, (1969), 185–189. (Russian)

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  40. (with V.N. Semenuta) Calculation of index of multidimensional discrete convolutions, Mat. Issled., Kishinev: Shtiintsa, 4:4, (1969), 134–141. (Russian)

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  41. For the heat computation of solid circuits, Radiotekhnika i electronika, 15 (1970), no. 6, 1232–1240. (Russian)

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  42. The capacity of round conductive disk situated on the dielectric layer of small thickness, Mat. Analiz i ego Prilozheniya, Rostov-na-Donu: IRU, 2 (1970), 117–131. (Russian)

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  43. A justification of the averaging method for the abstract parabolic equations, Mat. Sbornik, 81, no. 1, (1970), 53–61. (Russian); English transl. in Math. USSR Sbornik. 1970. V.10, N1. P. 51–59.

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  44. A justification of the averaging method for the abstract parabolic equations, Dokl. Acad. Nauk SSSR, 191 (1970), no. 1, 33–34. (Russian); English transl. in Soviet Math. Dokl. 1970. V.11, N2. P. 323–325.

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  45. On a question of index, Mat. Analiz i ego Prilozhenia, Rostov-on-Don: IRU, (1970), 99–105. (Russian)

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  46. (with O.K. Kolibelnikova) On the capacity of conductive disk situated on the dielectric layer, Izv. Vyssh. Uchebn. Zaved. Electromekhanika, (1971), no. 1, 720–724. (Russian)

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  47. For the question of solvability of bisingular and polysingular equations, Funk. Analiz i ego Prilozhenia, 5 (1971), no. 1, 93–94. (Russian)

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  48. Boundary value problems of analytic functions of two variables and their associated integral equations, Dokl.Acad. Nauk SSSR, 199 (1971), no. 3, 551–552. (Russian); English transl. in Soviet Math. Dokl. 1971. V.12, N4, P. 1131–1133.

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  49. Approximate-moment scales and interpolation theorems, Mat. Analiz i ego Prilozhenia, 3 (1971), 37–52. (Russian)

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  50. (with A.A. Checulaeva) On the capacity of condenser consisting of infinite strips, Izv. Vyssh. Uchebn. Zaved. Electromekhanika, (1972), no. 4, 362–365. (Russian)

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  51. A justification of the averaging method for a problem of convection in a field of rapidly oscillating forces and other parabolic equations, Mat. Sbornik, 87 (1972), no. 2, 236–253. (Russian); English transl. in Math. USSR. Sbornik. 1972. V. 16, N 2, p. 245–263.

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  52. Introduction to topology, Rostov-on-Don: IRU, 1973, 100p. (Russian)

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  53. Higher approximations of the averaging method for parabolic equations. Dokl.Acad. Nauk SSSR, 213 (1973), no. 6, 1255–1257. (Russian); English transl. in Soviet Math. Dokl. 1973. V. 14, N 6, p. 1884–1886.

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  54. Higher approximations of the averaging method for abstract parabolic equations, Mat. sbornik, 92 (1973), no. 4, 541–549. (Russian); English transl. in Math. USSR. Sbornik. 1973. V. 21, N 4, P. 535–543.

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  55. Problems of electrostatics in inhomogeneous medium. The case of thin dielectric with large dielectric constant. I, Differentsyalnie Uravnenia, 10 (1974), no. 2, 301–309. (Russian)

    Google Scholar 

  56. Characteristic bisingular equations in the spaces of measurable functions, Izv. Vyssh. Uchebn. Zaved. Mat., (1974), no. 2, 115–119. (Russian)

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  57. Problems of electrostatics in inhomogeneous medium. The case of thin dielectric with large dielectric constant. II, Differentsyalnie Uravnenia, 11 (1975), no. 10, 1870–1878. (Russian)

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  58. On a limit problem of heat conductivity in inhomogeneous medium, Sib. Math. Zhurnal, 16 (1975), no. 6, 1291–1300. (Russian)

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  59. (with M.P. Boroditskiy) On a differently dimensional variational problem, Funk. Analiz i ego Prilozhenia, 9 (1975), no. 4, 63–64. (Russian)

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  60. (with M.P. Boroditskiy) Problems of electrostatics in inhomogeneous medium. The case of thin dielectric with large dielectric constant, Rost. Universitet, Rostov-na-Donu, 1975, 36p. Dep. In VINITI 03.11.75, N3167-75, RZh Fisika 1976, 2B108. (Russian)

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  61. Some more on the Treftz method, Izv. SKNC VS, Seria Estestv. Nauk, 1976, no. 2, 10–12. (Russian)

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  62. Some estimations for power quasipolynomials, Mat. Sbornik, 100 (1976), no. 1, 89–101. (Russian)

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  63. An observation on random quasipolynomials, Mat. Analiz i ego Prilogenia, Rostov-na-Donu: IRU, 1978, 122–124. (Russian)

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  64. On the convergence of Biberbach polynomials in the case of Lipschitz domains, Izvestia Acad. Nauk SSSR Mat., 42 (1978), no. 4, 870–878. (Russian)

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  65. (with A.V. Kozak) On the projection methods of studying two-dimensional singular equations on the tore, Funk. Analiz i ego Prilogenia, 12 (1978), no. 1, 74–75. (Russian)

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  66. On the application of square minimization principle to approximate searching the Christoffel-Schwartz constants, Izvestia SKNC VS, Seria Estestv. Nauk, (1978), no. 3, 7–10. (Russian)

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  67. Some new results on a convergence of approximate methods for conformal mappings, Actual. Voprosy Mat. Analiza, Rostov-na-Donu: IRU, 1978, 150–160. (Russian)

    Google Scholar 

  68. (with S.L. Edelshtein) Exponentially convergent method of searching proper numbers of Laplace operator in the case of plane polygonal domain, Rost. Univer., Rostov-na-Donu, 1978, 41p. Dep. In VINITI 20.07.78, N2438-78, RZh Matematika 1978, 11B1441. (Russian)

    Google Scholar 

  69. (with V.B. Levenschtam) The highest approximations of the averaging method for parabolic equations, Trudi Vsesouznoy konf. po uravneniyam s chastnimi proizvodnimi, Moskva: Izd. MGU, 1978, 443–445. (Russian)

    Google Scholar 

  70. Exponentially convergent linear method of searching the Christoffel-Schwartz constants and Markov type estimation for potential with quasipolynomial densities, Rost. Univer., Rostov-na-Donu, 1979, 24p. Dep. In VINITI 17.01.79, N209-79 RZh Matematika 1979, 4B1266. (Russian)

    Google Scholar 

  71. Exponentially convergent linear method of searching the Christoffel-Schwartz constants and Markov type estimation for harmonic power quasipolynomials, Sib. Math. Zhurnal, 22 (1981), no. 3, 188–196. (Russian)

    Google Scholar 

  72. On the one estimation of conformal mapping from the circle to the Lipschitz domain, Rost. Univer., Rostov-na-Donu, 1979, 19p. Dep. In VINITI 24.04.79, N1465-79 RZh Matematika 1980, 6B121. (Russian)

    Google Scholar 

  73. (with A.V. Kozak) Projection methods of the studying multidimensional discrete equations of convolution type, Sib. Math. Zhurnal, 21 (1980), no. 2, 119–127. (Russian)

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  74. (with A.V. Kozak) Invertibility of the convolution type operators in the large domains, Mat. Issled., Kishinev: “Shtiintsa”, 1980, v. 54, 56–66. (Russian)

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  75. On the factorization and the local factorization of measurable functions, Dokl. Acad. Nauk SSSR, 250 (1980), no. 5, 1063–1066. (Russian)

    Google Scholar 

  76. On a relation between factorizability and local Noethericity property, Soobshch. Acad. Nauk Gruzin. SSR, 98 (1980), no. 2, 281–283. (Russian)

    Google Scholar 

  77. Equivalence of factorizability and local factorizability of measurable functions, defined on the contour of R type, Rost. Univer., Rostov-na-Donu, 1987, 51p. Dep. In VINITI 02.06.80, N2193-80, RZh Matematika 1980, 11B818. (Russian)

    Google Scholar 

  78. Equivalence of factorizability of measurable function and the local Noethericity property of the singular operator generated by this function, Rost. Univer., Rostov-na-Donu, 1987, 51p. Dep. In VINITI 02.06.80, N2194-80, RZh Matematika 1980, 11B819. (Russian)

    Google Scholar 

  79. (with V.I. Azamatova, A.A. Kilbas, G.S. Litvinchuk, O.I. Marichev, M.D. Martinenko, V.S. Rogozhyn, S.G. Samko, A.S. Fedenko, Yu.I. Cherskiy) Fedor Dmitrievich Gakhov, Izv. Acad. Nauk BSSR, (1980), no. 4, 130–132. (Russian)

    Google Scholar 

  80. (with N.P. Vekua, G.S. Litvinchuk, S.M. Nikolskiy, V.S. Rogogin, S.G. Samko, S.G. Khvedelidze, U.I. Cherskiy) Fedor Dmitrievich Gakhov (obituary), Uspehi Mat. Nauk, 36 (1981), no. 1, 193–194. (Russian)

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  81. On the closure of the set (ρ, γ): | ρ| 1+γ ∈ W ρ(Γ) and some another properties of weight functions for singular integral Cauchy in the case of R type contour, Rost. Universitet, Rostov-na-Donu, 1981, 27p. Dep. In VINITI 27.02.81, N956-81, RZh Matematika 1981, 6B221. (Russian)

    Google Scholar 

  82. Some properties of singular integral with continuous density in the case of R type contour, Izv. SKNC VS, Seria Estestv. Nauk, 1982, no. 2, 17–19. (Russian)

    Google Scholar 

  83. (with Chin Ngok Minh) On the index and the homotopy classification of families of singular operators with Carleman shift, Dokl. Acad. Nauk SSSR, 263 (1982), no. 5, 1070–1073. English transl. in Soviet Math. Dokl. 1982. V. 25, N 2, P. 503–506. (Russian)

    Google Scholar 

  84. (with Chin Ngok Minh) On the index of families of singular operators with Carleman shift, Rost. Universitet, Rostov-na-Donu, 1982, 40p., Dep. In VINITI 20.05.82, N2558-82, RZh Matematika 1982, 9B693. (Russian)

    Google Scholar 

  85. A defining role of the values of the natural additive mappings of the K*-functor on the sphere, Rost. Universitet, Rostov-na-Donu, 1982, 16p., Dep. In VINITI 20.05.82, N2560-82, RZh Matematika 1982, 9A459. (Russian)

    Google Scholar 

  86. Some more on the Muckenhoupt conditions, Rost. Universitet, Rostov-na-Donu, 1982, 17p. Dep. In VINITI 20.05.82, N2557-82, RZh Matematika 1982, 9B46. (Russian)

    Google Scholar 

  87. The weight properties of exponent of multidimensional singular integral with continuous and bounded density, Rost. Universitet, Rostov-na-Donu, 1982, 35p. Dep. In VINITI 20.05.82, N2559-82, RZh Matematika 1982, 9B41. (Russian)

    Google Scholar 

  88. Stability of the weight relative to singular integral Cauchy properties of the functions, Mat. Zametki, 33 (1983), no. 3, 409–416. (Russian)

    Google Scholar 

  89. On the global and local factorability of the measurable matrix-function and Noethericity of the generated by this matrix-function singular operator, Izv. Vissh. Uchebn. Zaved. Mat., (1984), no. 4, 81–87. (Russian)

    Google Scholar 

  90. An example of function that satisfies Muckenhoupt condition, but is not a weight function for the Cauchy singular integral in the case of contour with a turning point, Rost. Universitet, Rostov-na-Donu, 1983, 20p. Dep. In VINITI 18.05.83, N2659-83, RZh Matematika 1983, 9B780. (Russian)

    Google Scholar 

  91. On the global and local factorability of the measurable matrix-function and Noethericity property of the generated by this matrix-function singular operator in the scales of L p-spaces in the case of R type contour, Rost. Universitet, Rostov-na-Donu, 1983, 38p. Dep. In VINITI 18.05.83, N2660-83, RZh Matematika 1983, 9B802. (Russian)

    Google Scholar 

  92. On the one effective method of calculating the Christoffel-Schwartz integral constants in the case of half-plane, perturbed by cross-cuts, Rost. Universitet, Rostov-na-Donu, 1983, 16p. Dep. In VINITI 18.05.83, N2658-83 RZh Matematika 1983, 9B133. (Russian)

    Google Scholar 

  93. (with S.L. Edelshtein) Estimates for quasipolynomials and the convergence highest norms of approximation methods of solving elliptic problems in domains with corners, Probleme und Methoden der Mathematischen Physik. 8. Tagung. Karl-Marx-Stadt, 1983. B. 63, p. 46–52.

    MathSciNet  Google Scholar 

  94. (with S.L. Edelshtein) Estimates for quasipolynomials and the convergence higher norms of approximation methods of solving elliptic problems in domains with corners, Vortragauszüge 8. TMP. Technische Hochschule K-M-S, 1983, 53–54. (Russian)

    Google Scholar 

  95. Convergence of the asymptotic expansions for some types of elliptic problems in the singular perturbed domains, Rost. Universitet, Rostov-na-Donu, 1983, 30p. Dep. In VINITI 05.12.83, N6544-83, RZh Matematika 1984, 3B440. (Russian)

    Google Scholar 

  96. (with R.A. Simonenko) Conformal mapping of domain with singular perturbed corner portion of the boundary, Rost. Universitet, Rostov-na-Donu, 1983, 29p. Dep. In VINITI 05.12.83, N6543-83, RZh Matematika 1984, 3B177. (Russian)

    Google Scholar 

  97. (with Chin Ngok Minh) A local method in the theory of one-dimensional singular integral equations with piecewise continuous coefficients, Rostov-na-Donu: IRU, 1986, 60p. (Russian)

    Google Scholar 

  98. Weight properties of the exponent of the multidimensional singular integral, Funk. Analiz i ego Prilozhenia, 18 (1984), v. 3, 92–93. (Russian)

    Google Scholar 

  99. (with R.A. Simonenko) Conformal mapping of the singular perturbed half-plane. Calculating of the Christoffel-Schwartz constants in the case of polygonal perturbances, Rost. Universitet, Rostov-na-Donu, 1984, 32p. Dep. In VINITI 13.12.84, N7979-84, RZh Matematika 1985, 4B187. (Russian)

    Google Scholar 

  100. (with R.A. Simonenko) Conformal mapping of the domain with singular perturbed straight-line portion of the boundary, Rost. Universitet, Rostov-na-Donu, 1984, 27p. Dep. In VINITI 13.12.84, N7980-84, RZh Matematika 1985, 4B188. (Russian)

    Google Scholar 

  101. (with Chin Ngok Minh) A local method in the theory of one-dimensional singular integral equations with piecewise continuous coefficients, Nauchnie Trudi Yubileynogo Seminara po Kraeviv Zadacham, Minsk: Izdatelstvo “Universitetskoe”, 1985, 115–120. (Russian)

    Google Scholar 

  102. (with V.M. Deundyak, Chin Ngok Minh) Index and homotopy classification of families of one-dimensional singular operators with piecewise continuous coefficients, Rost. Universitet, Rostov-na-Donu, 1985, 46p. Dep. In VINITI 12.05.85, N3204-85, RZh Matematika 1985, 9B834. (Russian)

    Google Scholar 

  103. (with R.A. Simonenko) Conformal mapping of the singular perturbed half-plane, Mejvuzovskiy Sbornik Nauchnih Trudov, KGU-RGU, Elista, 1985, 149–159. (Russian)

    Google Scholar 

  104. (with V.M. Deundyak, Chin Ngok Minh) Homotopy classification of families of one-dimensional singular operators with piecewise continuous coefficients, Dokl. Acad. Nauk SSSR, 289 (1986), no. 3, 521–524. (Russian); English transl. in Soviet Math. Dokl. 1987. V.34, N1, P. 100–103.

    Google Scholar 

  105. (with R.A. Simonenko) Conformal mapping of the singular perturbed domain, Dokl. Acad. Nauk SSSR, 289 (1986), no. 2, 302–305. (Russian); English transl. in Soviet Math. Dokl. 1987. V.34, N1, P. 93–95.

    MathSciNet  Google Scholar 

  106. The averaging method in the theory of nonlinear equations of parabolic type with application to the problems of hydrodynamic stability, Rost. Universitet, Rostovna-Donu, 1986, 184p., Dep. In VINITI 22.10.86, N7357-86, RZh Matematika 1987, 2B498. (Russian) a) The averaging method in the theory of nonlinear equations of parabolic type with application to the problems of hydrodynamic stability, Rostovna-Donu: IRU, 1989, 112p. (Russian)

    Google Scholar 

  107. (with S.M. Zenkovskaya) Application of averaging method for the solution of the problem of convection in the field of rapidly oscillating forces and for the solution of other parabolic equations, Proceedings of the 4 International Conference on Boundary and Interior Layers, Boole press (Ireland), 1986, 436–441.

    Google Scholar 

  108. (with V.A. Stukopin) On the one universal algebra of singular integral operators on the segment, Izv. SKNC VS, Seria Estestv. Nauk, 1987, no. 3, 52–55. (Russian)

    MathSciNet  Google Scholar 

  109. (with I.S. Soybelman) On the methods of computation of capacity, Izv. Vissh. Uchebn. Zaved., Electromekhanika, 1987, no. 11, 33–39. (Russian)

    Google Scholar 

  110. (with V.A. Stukopin) On a universal algebra of singular integral operators on the segment, Rost. Universitet, Rostov-na-Donu, 1987, 38p. Dep. In VINITI 23.07.87, N5327-V87, RZh Matematika 1987, 11B1071. (Russian)

    Google Scholar 

  111. (with V.M. Deundyak, Chin Ngok Minh) Symbols and homotopy classification of families of one-dimensional singular operators with piecewise continuous coefficients, Izv. Vissh. Uchebn. Zaved., Mat., 1988, no. 12, 17–27. (Russian)

    Google Scholar 

  112. (with V.M. Deundyak, Chin Ngok Minh) The calculation of index of the families of one-dimensional singular operators with piecewise continuous coefficients, “Dif., Integral. Uravneniya i Komplexnyi Analiz”, Mejvuzovskiy Sbornik Nauchnih Trudov, KGU-RGU, Elista, 1988, 18–28. (Russian)

    Google Scholar 

  113. On the one algorithm of searching linear functional by its value on the image. Estimation of error, Rost. Universitet, Rostov-na-Donu, 1988, 20 p. Dep. In VINITI 17.11.88, N8174-88, RZh Matematika 1989, 2G264. (Russian)

    Google Scholar 

  114. On an algorithm of solving systems of linear equations. Estimation of error, Rost. Universitet, Rostov-na-Donu, 1988, 14p. Dep. In VINITI Dep. 16.11.88, N8147-V88, RZh Matematika 1989, 2G14. (Russian)

    Google Scholar 

  115. (with M.E. Abramyan) Conditionality of the one special system of functions, Rost. Universitet, Rostov-na-Donu, 1989, 13p. Dep. In VINITI 28.10.88, N7732-V88, RZh Matematika 1989, 2B212. (Russian)

    Google Scholar 

  116. (with A.V. Kozak, V.S. Pilidi) Asymptotic of the solutions of some integral equations in the large domains, Dokladi Rasshirennih Zasedanii Seminara Institute Pricladnoi Matematiki im. I.N. Vekua, Tbilisi: Izdatelstvo Tbilisskogo Universiteta, 3 (1988), no. 1, 100–103. (Russian)

    Google Scholar 

  117. Propagation of sound in the few-mode hydroacoustic wave conductors, in “Akustika Okeanskoy Sredy. Acad. Nauk SSSR. Komitet po Problemam Mirovogo Okeana”, Moskva: Nauka, 2 (1989), 39–46. (Russian)

    Google Scholar 

  118. The acoustic field in wave conductor with diaphragm having a small hole, Rost. Universitet, Rostov-na-Donu, 1989, 39p. Dep. In VINITI 21.02.89, N1155-V89, RZh Fizika 1989, 6P22. (Russian)

    Google Scholar 

  119. (with M.E. Abramyan) Conditionality of the special function systems. Two-sided estimates, Rost. Universitet, Rostov-na-Donu, 1989, 17p. Dep. In VINITI 15.06.89, N3990-V89, RZh Matematika 1989, 10B51. (Russian)

    Google Scholar 

  120. (with Mikhalkovich) Asymptotics of the acoustic fields in wave conductor with absolutely rigid small inclusion, Rost. Universitet, Rostov-na-Donu, 1989, 79p., Dep. In VINITI 01.11.89, N6617-V89, RZh Fizika 1990, 2P161. (Russian)

    Google Scholar 

  121. (with V.A. Babeshko, I.I. Vorovich, G.S. Litvinchuk, I.V. Ostrovskiy, V.S. Rogozhyn, V.S. Samko, B.V. Khvedelidze) Hikolay Vasilievich Govorov, UMN, 44 (1989), no. 5, 187–190. (Russian)

    Google Scholar 

  122. (with M.E. Abramyan) Estimates of condition number of some function systems, Izv. SKNC VS, Seria Estestv. Nauk, 1990, no. 2, 63–66. (Russian)

    MathSciNet  Google Scholar 

  123. (with Mikhalkovich) Asymptotics of the acoustic fields in wave conductor with small inclusion of different types, Rost. Universitet, Rostov-na-Donu, 1989, 79p., Dep. In VINITI 19.07.90, N4071-V90, RZh Fizika 1990, 10P166 DEP. (Russian)

    Google Scholar 

  124. Algorithms of solving the approximate problems with improperly stipulated Gram matrix, Rost. Universitet, Rostov-na-Donu, 1991, 28p., Dep. In VINITI 05.02.91, N591-V91, RZh Matematika 1991, 6G129. (Russian)

    Google Scholar 

  125. The sections’ method with a multiple domains’ superposition in application to computation of conformal mapping of the square, Rost. Universitet, Rostov-na-Donu, 1991, 33p., Dep. In VINITI 05.02.91, N592-V91, RZh Matematika 1991, 6G208. (Russian)

    Google Scholar 

  126. Harmonic Dirichlet problem in the domain with fine-grained structure of the boundary. The uniform convergence, Rost. Universitet, Rostov-na-Donu, 1991, 34p., Dep. In VINITI 05.02.91, N590-V91, RZh Matematika 1991, 6B360. (Russian)

    Google Scholar 

  127. (with M.E. Abramyan) Fredholm property and solvability of problems on waveguide joint, Rost. Universitet, Rostov-na-Donu, 1991, 24p. Dep. In VINITI 23.05.91, N2120-V91, RZh Matematika 1991, 9B754. (Russian)

    Google Scholar 

  128. (with I.M. Erusalimskiy) 35 Lectures on discrete mathematics. 1. Propositional algebra, Rostov-na-Donu: MGP “Gaudeamus-XX1”, 1991, 51p. (Russian)

    Google Scholar 

  129. (with I.M. Erusalimskiy) 35 Lectures on discrete mathematics. 2. Algebra of predicates and sets, Rostov-na-Donu: MGP “Gaudeamus-XXI”, 1991, 44p. (Russian)

    Google Scholar 

  130. (with I.M. Erusalimskiy) 35 Lectures on discrete mathematics. 3. The elements of combinatorial analysis, Rostov-na-Donu: MGP “Gaudeamus-XXI”, 1991, 53 p. (Russian)

    Google Scholar 

  131. (with I.D. Jerdenovskaya) The sections’ method with a multiple superposition of decomposition domains in application to computation of conformal mapping of polygons, Rost. Universitet, Rostov-na-Donu, 1992, 22p., Dep. In VINITI 08.01.92, N71-V92, RZh Matematika 1992, 5B139. (Russian)

    Google Scholar 

  132. (with I.M. Erusalimskiy) 35 Lectures on discrete mathematics. 4. Boolean functions, Rostov-na-Donu: MGP “Gaudeamus-XX1”, 1992, 35 p. (Russian)

    Google Scholar 

  133. (with I.M. Erusalimskiy) 35 Lectures on discrete mathematics. 5. The elements of the automata theory, Rostov-na-Donu: MGP “Gaudeamus-XXI”, 1992, 33p. (Russian)

    Google Scholar 

  134. (with I.M. Erusalimskiy) 35 Lectures on discrete mathematics. 5. The elements of the graph theory, Rostov-na-Donu: MGP “Gaudeamus-XXI”, 1992, 48p. (Russian)

    Google Scholar 

  135. (with I.D. Jerdenovskaya) The sections’ method of conformal mapping of polyhedral surfaces, Rost. Universitet, Rostov-na-Donu, 1992, 13p., Dep. In VINITI 30.12.92, N3723-V92, RZh Matematika 1993, 5B94. (Russian)

    Google Scholar 

  136. (with V.M. Deundyak, V.A. Stukopin) Homotopy classification of the families of Noether singular operators with piecewise continuous coefficients on a composite contour, Dokl. Rossiyskoy Acad. Nauk, 329 (1993), v. 5, 540–542.

    MathSciNet  Google Scholar 

  137. Ideals of a Banach Algebra of Singular Integral Operators with Piecewise Continuous Coefficients in the Space Lp on a Composite Contour. Funct. Analiz i ego Prilozheniia 1993. V. 4. P. 69–71. (Russian) English transl. in Plenum Publishing Corporation. 1994. P. 277–279.

    Google Scholar 

  138. (with I.D. Jerdenovskaya) The sections’ method with a multiple superposition of decomposition domains in application to computation of conformal mapping of polygons. Quantization of residual functional, Rost. Universitet, Rostov-na-Donu, 1993, 14p., Dep. In VINITI 03.02.93, N269-V93, RZh Matematika 1993, 6B142. (Russian)

    Google Scholar 

  139. Estimation of error of arithmetical algorithms with application to least-squares method, Rostov-na-Donu: UPL, 1993, 58p. [Programma“Universiteti Rossii”]. (Russian)

    Google Scholar 

  140. Elements of the sets theory and combinatorial analysis, Rostov-na-Donu: UPL, 1993, 36 p. [Programma “Universiteti Rossii”]. (Russian)

    Google Scholar 

  141. (with V.M. Deundyak, V.A. Stukopin) Symbol calculation and the structure of ideals of algebra of singular operators on the beam system, Sbornik “Dif. and Integral. Uravneniia i Komplexnyi Analiz”, Elista: Izdat. Kalmitskogo Gos. Universiteta, 1993, 36–47. (Russian)

    Google Scholar 

  142. (with V.M. Deundyak, V.A. Stukopin). The Index of Families of Noether Singular and Bisingular Integral Operators with Piecewise Continuous Coefficients on Composite Contour. Dokl. Rossiiskoi Acad. Nauk. 1994. V. 338, N 2. p. 158–161. (Russian); English transl. in Russian Acad. Sci. Dokl. Math. 1995. Vol. 50, N 2. p. 210–214.

    MathSciNet  Google Scholar 

  143. (with V.M. Deundyak) Models of local theory and local method in the pairs of Lp-spaces, Rostov-na-Donu, 1994, 31p., Dep. In VINITI 08.11.94, N2525-B94, RZh Mat 1995, N3B558. (Russian)

    Google Scholar 

  144. (with S.M. Zenkovskaya, V.B. Levenshtam) Averaging method for differential equations in Banach spaces with applications to convection problems. Proceeding of the 14th IMACS World Congress on Computation and Applied Mathematics. July 11–15, 1994, Georgia Institute of Technology, Atlanta, Georgia, USA 1994. Vol. 2. p. 922–925.

    Google Scholar 

  145. (with I.D. Jerdenovskaya) On a direct method of computation of conformal mapping of polygons, Izv. Vyssh. Uchebn. Zaved. Mat., no. 2(393)(1995), 27–36. (Russian)

    Google Scholar 

  146. (with V.P. Gusakov) On some modification of the method of separation of variables for Helmholtz equation with a wave number depending on the angular coordinate, Sbornik “Sovremennie Problemy Mekhaniki Sploshnoi Sredy”, Rostov-na-Donu: MP “Kniga”, 1995, 173–177. (Russian)

    Google Scholar 

  147. (with V.M. Deundyak) Index of families of Noether convolution type operators in the pair of spaces, Rostov-na-Donu, 1995, 17p., Dep. In VINITI 21.04.95, N1138-V95, RZh Matematika 1995, N8B478. (Russian)

    Google Scholar 

  148. (with V.P. Gusakov) On the special systems of functions connected with Helmholtz equation with wave number depending on the angular coordinate, Rostov-na-Donu, 1995, 20p., Dep. In VINITI 06.06.95, N1655-V95, RZh Matematika 1995, N9B370. (Russian)

    Google Scholar 

  149. On the one method of computation of wave conductor with diffuser, Rostov-na-Donu, 1995, 24p., Dep. In VINITI 28.11.95, N3132-V95, RZh Fizika. 1996, N4P41. (Russian)

    Google Scholar 

  150. Some remarks on the minimum problem for quadratic functional depending on parameter and close problems, Rostov-na-Donu, 1996, 24p., Dep. In VINITI 17.01.96, N197-V96, RZh Matematika 1996, N6B504. (Russian)

    Google Scholar 

  151. Local type operators theory and its applications, Rostov-na-Donu, 1996, 74p., Dep. In VINITI 23.01.96, N275-V96, RZh Matematika 1996, N10B592. (Russian)

    Google Scholar 

  152. (with V.M. Deundyak, V.A. Stukopin) The structure of set of ideals and classification of algebras of singular integral operators in the space L p on a composite contour, Rostov-na-Donu, 1996, 50p., Dep. In VINITI 19.03.96, N828-V96, RZh Matematika 1996, N9B584. (Russian)

    Google Scholar 

  153. (with V.M. Deundyak) Local method in the pairs of Lp-spaces and index, Dokladi Rus. Acad. Nauk, 349 (1996), no. 5, 592–595. (Russian)

    MathSciNet  Google Scholar 

  154. (with V.P. Gusakov) On some modification of the method of separation of variables for equation ΔU + k 2(ϕ)U = 0. The correct and incorrect Dirichlet problems, Rostov-na-Donu, 1996, 23p., Dep. In VINITI 31.10.96, N3185-V96. RZh Matematika 1997, N5B291. (Russian)

    Google Scholar 

  155. (with V.M. Deundyak, V.A. Stukopin) Local analysis of singular operators with piecewise-continuous coefficients on compound contour. I. Noethericity, Don. Gos. Universitet, Rostov-na-Donu, 1997, 60p., Dep. in VINITI 22.11.96, N3389-V96. RZh Matematika 1997, 5B689.

    Google Scholar 

  156. On the one method of computation of fundamental frequencies of membrane having the shape of right triangle, Rostov-na-Donu, 1996, 31p., Dep. In VINITI 25.12.96, N3810-V96. RZh Matematika 1997, N6B363. (Russian)

    Google Scholar 

  157. Traces of W 21 -functions on Lipschitz lines, Rostov-na-Donu, 1997, 47p. Dep. In VINITI 24.03.97, N896-V97. RZh Matematika 1997, 11B65. (Russian)

    Google Scholar 

  158. (with V.M. Deundyak, V.A. Stukopin) Local analysis of singular operators with piecewise-continuous coefficients on compound contour. II. Homotopy classification and calculation of index of families, Don. Gos. Universitet, Rostov-na-Donu, 1997, 60p., Dep. in VINITI 25.07.97, N2495-V97. RZh Matematika 1998, 2B810. (Russian)

    Google Scholar 

  159. (with U.V. Lazarev, A.V. Marchenko) Differential equation for determinant of integral Fredholm operator of second type and its applications, Rostov-na-Donu, 1997, 14p, Dep. in VINITI 31.10.97, N3229-V97. RZh Matematika 1998, 3B465. (Russian)

    Google Scholar 

  160. Some remarks on normalizations of Sobolev spaces and possible definitions of variational and generalized problems, Rostov-na-Donu, 1997, 27p., Dep. In VINITI 31.10.97, N3230-V97. RZh Matematika 1998, 4B694. (Russian)

    Google Scholar 

  161. (with U.V. Lazarev, A.V. Marchenko) Determinant of integral Fredholm equation of second type with continuous kernel, Rostov-na-Donu, 1997, 11p., Dep. In VINITI 19.11.97, N3402-V97. RZh Matematika 1998, 5B291. (Russian)

    Google Scholar 

  162. The sections’ method with superposition of domains in application to the problem of computation of fundamental frequencies of the membrane with a polygon boundary, Rostov-na-Donu, 1998, 42p., Dep. In VINITI 10.02.98, N365-V98. (Russian)

    Google Scholar 

  163. An integral equation of the theory of interaction of wave conductor and diffuser, Izv. Vyssh. Uchebn. Zaved. Severo-Kavkazskyi Region, 2000, no. 3, 155–158, (Russian)

    Google Scholar 

  164. Multidimensional variant of G. Szegő’s theorem on the limit spectral density of truncated Toeplitz operators. The case of Wiener symbol, Rostov-na-Donu, 1998, 10p., Dep. In VINITI 21.08.98, N2635-V98. RZh Matematika 1999, 1B744. (Russian)

    Google Scholar 

  165. Multidimensional variant of G. Szegő’s theorem on the limit spectral density of truncated Toeplitz operators. The case of measurable bounded symbol, Rostov-na-Donu, 1998, 19p., Dep. In VINITI 30.10.98, N3165-V98. RZh Matematika 1999, 4B606. (Russian)

    Google Scholar 

  166. Multidimensional variant of G. Szegő’s theorem on the limit spectral density of truncated Toeplitz operators. The case of compound convolutions, Rostov-na-Donu, 1998, 11p., Dep. In VINITI 29.12.98, N3930-V98. RZh Matematika 1999, 6B674. (Russian)

    Google Scholar 

  167. (with U.V. Lazarev, A.V. Marchenko) On the calculation of determinants of truncated one-dimensional continual convolutions with rational symbols, Izv. Vyssh. Uchebn. Zaved. Mat., (1999), no. 4(443), 77–78. (Russian).

    MathSciNet  Google Scholar 

  168. Some results on the stability of limit Szegő’s set and its applications, 12p., Rostovna-Donu, 1999, Dep. In VINITI 09.07.99, N2256-V99, 12p. RZh Matematika 2000, 00.01-13B, 641DEP. (Russian)

    Google Scholar 

  169. Limit Szegő-type theorems for compound and generalized convolution type operators, 61p., Rostov-na-Donu, 1999, Dep. In VINITI 12.08.99, N2639-V99. 61p. RZh Matematika 2000, 00.02-13B, 619DEP. (Russian)

    Google Scholar 

  170. On one effective method of computation of fundamental frequencies of membrane with polygon boundary, Dokl. Rus. Acad. Nauk, 367 (1999), no. 5, 603–605. (Russian)

    Google Scholar 

  171. Limit Szegő-type theorems and asymptotic of determinants for the generalized discrete convolution type operators, 24p., Rostov-na-Donu, 1999, Dep. In VINITI 29.11.99, N3528-V99. 24p. RZh Matematika 2000, 00.05-13B, 729DEP. (Russian)

    Google Scholar 

  172. Limit Szegő-type theorems for determinants of truncated generalized multidimensional discrete convolutions, Dokl. Rus. Acad. Nauk, 373 (2000), no. 5, 588–589. (Russian)

    Google Scholar 

  173. (with O.N. Zabroda) Limit asymptotic spectral behavior of truncated generalized one-dimensional discrete convolution type operators. I. 25p., Rostov-na-Donu, 2001, Dep. in VINITI 19.01.01, N145-V2001. 25p. RZh Matematika 2001, 01.07-13B, 595DEP. (Russian)

    Google Scholar 

  174. Szegő-type Limit Theorems for Multidimensional Discrete Convolution Operators with Continuous Symbols. Funk. Analiz i ego Prilozheniya. V. 35, no. 1, 2001, Pp.91–93. (Russian); English transl. in Functional Analysis and its Applications, Vol. 35, No. 1, p. 77–78, 2001

    Google Scholar 

  175. (with V.A. Vasiliev) On the one Widom’s theorem, Rostov-na-Donu, 2001, Dep. in VINITI 09.04.01, N906-V2001, 21p. RZh Matematica 2001, 01.11-13B, 75Dep. (Russian)

    Google Scholar 

  176. Lections on mathematical analysis. Part 1. Differential and integral calculation for the functions of one variable, Rostov-na-Donu: Rost. Gos. Universitet, 2001, 132p. (Russian)

    Google Scholar 

  177. Limit Szegő-type theorem for perturbed Toeplitz matrixes, Rostov-na-Donu, 2001. Dep. In VINITI 13.06.01, N1425-V2001. 30p. RZh Matematika 2002, 02.02-13, 291DEP. (Russian)

    Google Scholar 

  178. (with O.N. Zabroda) Collective asymptotic spectral behavior of linear truncated generalized one-dimensional discrete convolution type operator. II. Rostov-na-Donu, 2001, Dep. in VINITI 25.12.01, N2677-V2001. 30p. RZh Matematika 2002, 02.07-13B, 648DEP. (Russian)

    Google Scholar 

  179. (with I.A. Kazmin) Asymptotic decomposition of higher coefficients of characteristic polynomial of truncated discrete convolution, Rostov-na-Donu, 2001, Dep. in VINITI 21.12.01, N2645-V2001. 13p. (Russian)

    Google Scholar 

  180. (with O.N. Zabroda) Collective asymptotic spectral behavior of linear truncated generalized one-dimensional discrete convolution type operator. III. Rostov-na-Donu, 2002, Dep. in VINITI 13.05.02, N824-2002. 27 p. (Russian)

    Google Scholar 

  181. (with E.A. Maximenko) Asymptotic of multiple continual convolutions, truncated by expanding polyhedrons, Rostov-na-Donu, 2002, Dep. in VINITI 14.05.02, N846-V2002. 34 p. (Russian)

    Google Scholar 

  182. (with O.N. Zabroda) Asymptotic invertibility of truncated generalized one-dimensional discrete convolutions and Szegő-type limit theorem, Rostov-na-Donu, 2002, Dep. in VINITI 02.07.02, N1230-V2002, 21 p. (Russian)

    Google Scholar 

  183. (with I.A. Kazmin) Asymptotic of trace of matrix inverse to truncated Toeplitz matrix with rational symbol, Rostov-na-Donu, 2002, Dep. in VINITI 16.09.02, N1571-V2002. 10 p. (Russian)

    Google Scholar 

  184. (with O.N. Zabroda) Asymptotic invertibility of truncated generalized one-dimensional discrete convolutions and Szegő-type limit theorem. II., Rostov-na-Donu, 2002, Dep. in VINITI 11.10.02, N1721-V2002, 24 p. (Russian)

    Google Scholar 

  185. Elements of the theory of convex sets and asymptotic behavior of integer-valued volumes, Rostov-na-Donu, Dep. In VINITI 13.11.2002, N1964-V2002. 78 p. (Russian)

    Google Scholar 

  186. (with E.A. Maximenko, O.N. Zabroda) Szegő-type limit theorems for Toeplitz matrixes and generalized convolutions, Izv. Vyssh. Uchebn. Zaved. Severo-Kavkazskiy Region. Estestvennie Nauki, 2002, Yubileyniy Vypusk, 100–103. (Russian)

    Google Scholar 

  187. (with V.A. Vasiliev, E.A. Maximenko) On a Szegő-Widom’s theorem, Dokl. Akad. Nauk, 393 (2003), no. 3, 307–308. (Russian)

    MathSciNet  Google Scholar 

  188. (with A.U. Novoseltsev) Relationship between asymptotic of higher proper values of truncated continual convolution and rate of maximization of symbol, Rostov-na-Donu, Dep. in VINITI 29.05.2003, N1050-V2003. 9 p. (Russian)

    Google Scholar 

  189. (with O.N. Zabroda) Asymptotic invertibility of truncated generalized one-dimensional discrete convolutions and Szegő-type limit theorem. III., Rostov-na-Donu, Dep. in VINITI 08.08.2003, N1557-V2003. 24 p. (Russian)

    Google Scholar 

  190. (with A.U. Novoseltsev) Relationship between asymptotic of extreme eigenvalue of truncated Toeplitz matrixes and rate of maximization of symbol, Rostov-na-Donu, Dep. in VINITI 29.05.2003, N1050-V2003. 9 p. (Russian)

    Google Scholar 

  191. (with O.N. Zabroda) Asymptotic Invertibility and the Collective Asymptotic Spectral Behavior of Generalized One-Dimensional Discrete Convolutions, Functional Analysis and its Applications, Vol. 38, No. 1, pp. 65–66, 2001

    Article  MathSciNet  Google Scholar 

  192. (with E.A. Maximenko) Asymptotic of iterated truncated discrete convolutions, Rostov-na-Donu, Dep. in VINITI 04.12.2003, N2101-V2003. 61p. (Russian)

    Google Scholar 

  193. Problems of electrostatics and heat conductivity in inhomogeneous medium with thin inclusions possessing the large physical characteristics, Izv. Vyssh. Uchebn. Zaved. Severo-Kavkazskiy Region. Est. Nauki. Matematika i Mekhanika Sploshnoy sredy. Special. Vypusk. 2004, 207–209.

    Google Scholar 

  194. (with A.U. Novoseltsev) Relationship between asymptotic of extreme eigenvalue of truncated Toeplitz matrixes and rate of maximization of symbol, Algebra i Analiz, 16 (2004), no. 4, 146–152. (Russian)

    MathSciNet  Google Scholar 

  195. Szegő-Type Limit Theorem for the Operators of Generalized Multidimensional Discrete Convolution. Matrix Case. Russian Journal of Mathematical Physics. V. 11, No. 4, 2004, pp. 498–500.

    Google Scholar 

  196. Szegő-Type Limit Theorems for Generalized Discrete Convolution Operators. Matem. Zamet, V. 78, no. 2, P. 265–277. 2005. (Russian); English transl. in Mathematical Notes. Volume 78, Numbers 1–2. Date: July 2005, pp. 239–250

    Google Scholar 

  197. (with V.M. Deundyak) On homotopy properties and indices of families of singular and bisingular operators with piecewise-continuous coefficients. Journal of Mathematical Sciences. V. 126, No. 6, 2005, pp. 1593–1599.

    Article  MATH  MathSciNet  Google Scholar 

  198. (with A.U. Novoseltsev) Relationship between asymptotic of higher proper values of truncated continual convolution and rate of maximization of symbol, Izv. Vyssh. Uchebn. Zaved. Mat., (2005), no. 9(520), 52–56. (Russian)

    MathSciNet  Google Scholar 

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Editors and Affiliations

  1. Mechanical-Mathematics Department, Rostov State University, Zorge Str. 5, Rostov-on-Don, 344104, Russia

    Yakob M. Erusalimsky

  2. School of Mathematical Sciences, Raymond and Beverly Sackler, Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, 69978, Israel

    Israel Gohberg

  3. Departamento de Matemáticas, CINVESTAV, Apartado Postal 14-740, 07000, Mexico, D.F., Mexico

    Sergei M. Grudsky  & Nikolai Vasilevski  & 

  4. Instituto Politecnico Nacional, ESIME Zacatenco, Avenida IPN, Mexico, D. F., 07738, Mexico

    Vladimir Rabinovich

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(2006). Introduction. In: Erusalimsky, Y.M., Gohberg, I., Grudsky, S.M., Rabinovich, V., Vasilevski, N. (eds) Modern Operator Theory and Applications. Operator Theory: Advances and Applications, vol 170. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7737-3_1

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