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On the best approximation of continuous differentiable functions on the full real axis, Dokl. Akad. Nauk SSSR 18 (1938), 619-624.
On the linear operators that leave invariant a conic set, Dokl. Akad. Nauk SSSR 23 (1939), 749-752.
On totally nonnegative Green functions of ordinary differential operators, Dokl. Akad. Nauk SSSR 24 (1939), 220-223 (with G.M. Finkel’shtein).
On nonsymmetric oscillating Green functions of ordinary differential operators, Dokl. Akad. Nauk SSSR 25 (1939), 643-646.
Oscillation theorems for ordinary linear differential operators of arbitrary order, Dokl. Akad. Nauk SSSR 25 (1939), 717-720.
On the decomposition of a linear functional into positive components, Dokl. Akad. Nauk SSSR 25 (1939), 721-724 (with Yu. I. Grosberg).
On some quadrature formulae of P.L. Chebyshev and A.A. Markov, Memorial volume dedicated to D.A. Grave, Moscow (1940), pp. 15-28 (with N.I. Akhiezer).
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On a property of bases in Banach space, Zap. Khar’kov. Mat. O.-va (4) 16 (1940), 106-110 (with D.P. Mil’man and M.A. Rutman).
Some remarks about three papers of M.S. Verblunsky, Zap. Nauchn.-Issled. Inst. Mat. Mekh. i Khar’kov. Mat.O.-va (4) 16 (1940), 129-134 (with N.I. Akhiezer).
On some minimum-problems in the class of Stepanoff almost periodic functions. Soobsch. Nauchn.-Issled. Inst. Mat. Mekh. Khar’kov. Gos. Univ. i Khar’kov. Mat. O.-va (4) 17 (1940), 111-124 (with B.M. Levitan)
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On regularly convex sets in the space conjugate to a Banach space, Ann. Math., 41 (1940), 556-583 (with V.L. Shmul’yan).
On the continuation problem for Hermitian-positive continuous functions, Dokl. Akad. Nauk SSSR 26 (1940), 71-21.
On an intrinsic characteristic of the space of all continuous functions defined on a bicompact Hausdorff space, Dokl. Akad. Nauk SSSR 27 (1940), 427-431 (with S.G. Krein).
Basic properties of normal conic sets in Banach space, Dokl. Akad. Nauk SSSR 28 (1940), 13-17.
On the minimal decomposition of a linear functional into positive components, Dokl. Akad. Nauk SSSR 28 (1940), 18-22.
On a ring of functions defined on a topological group, Dokl. Akad. Nauk SSSR 29 (1940), 275-280.
On a special ring of functions, Dokl. Akad. Nauk SSSR 29 (1940), 355-359.
On a new property of the Sturm-Liouville operator, Trudy Univ., Odessa, Ser. Mat., 3 (1940), 21-32.
On the theory of almost-periodic functions on a topological group, Dokl. Akad. Nauk SSSR 30 (1941), 5-8.
On positive functionals on almost-periodic functions, Dokl. Akad. Nauk SSSR 30 (1941), 9-12.
On a generalization of Plancherel’s theorem to the case of Fourier integrals on a commutative topological group, Dokl. Akad. Nauk SSSR 30 (1941), 482-486.
Sur l’espace des fonctions continues définies sur un bicompact de Hausdorff et ses sousespaces semi-ordonnés, Mat. Sb., 13 (55) (1943), 1-38 (with S.G. Krein).
On the representation of functions by Fourier-Stieltjes integrals, Uchen. Zap. Kuibyshev. Gos. Pedag. i Uchit. Inst., 7 (1943), 123-148.
On Hermitian operators with deficiency indices equal to one, I, Dokl. Akad. Nauk SSSR 43 (1944), 339-342.
On Hermitian operators with deficiency indices equal to one. II, Dokl. Akad. Nauk SSSR 44 (1944), 143-146.
On a remarkable class of Hermitian operators, Dokl. Akad. Nauk SSSR 44 (1944), 191-195.
On a generalized moment problem, Dokl. Akad. Nauk SSSR 44 (1944), 239-243.
On the logarithm of an infinitely decomposable Hermitian-positive function, Dokl. Akad. Nauk SSSR 45 (1944), 99-102.
On the continuation problem for helical arcs in Hilbert space, Dokl. Akad. Nauk SSSR 45 (1944), 147-150.
On a generalization of investigations of G. Szego, V.I. Smirnov, and A.N. Kolmogorov, Dokl. Akad. Nauk SSSR 46 (1945) 95-98.
On an extrapolation problem of A.N. Kolmogorov, Dokl. Akad. Nauk SSSR 46 (1945), 339-342.
On self-adjoint extensions of bounded and semibounded Hermitian operators, Dokl. Akad. Nauk SSSR 48 (1945), 323-326.
On the resolvents of a Hermitian operator with deficiency index (m,m), Dokl. Akad. Nauk SSSR 52 (1946), 657-660.
On a general method of decomposing positive-definite kernels into elementary products, Dokl. Akad. Nauk SSSR 53 (1946), 3-6.
On a theorem of M. Ya. Vygodstkii, Mat. Sb., 18 (60) (1946), 447-450.
The basic theorems concerning the extension of Hermitian operators and some of their applications to the theory of orthogonal polynomials and the moment problem, Usp. Mat. Nauk 2, no. 3 (1947), 60-106 (with M.A. Krasnosel’skii).
On a general method of decomposing positive-definite kernels into elementary ones, Usp. Mat. Nauk 2, no. 3 (1947), p. 181.
The theory of self-adjoint extensions of semibounded Hermitian operators and its applications. I, Mat. Sb., 20 (62) (1947), 431-498.
The theory of self-adjoint extensions of semibounded Hermitian operators and its applications. II, Mat. Sb., 21 (63) (1947), 365-404.
On linear complete continuous operators in functional spaces with two norms., Zh. Inst. Mat. Akad. Nauk. SSR 9 (1947), 365-404 (Ukrainian).
On the theory of entire functions of exponential type, Izv. Akad. Nauk SSSR Ser. Mat., 11 (1947), 309-326.
Linear operators leaving invariant a cone in Banach space, Usp. Mat. Nauk 3, no. 1 (1948), 3-95 (with M.A. Rutman); English transl.: Amer. Math. Soc. Transl. (1), 10 (1962), 199-325.
Helical lines in an infinite-dimensional Lobachevsky space and Lorentz transformations, Usp. Mat. Nauk 3, no.3 (1948), 158-160.
On some problems connected with Lyapunov’s circle of ideas in stability theory, Usp. Mat. Nauk 3, no. 3 (1948) 166-169.
On Hermitian operators with directing functions, Sb. Trudov Inst. Mat. Akad. Nauk Ukr. SSR 10 (1948), 83-106.
On deficiency numbers of linear operators in Banach space and on certain geometric questions, Sb. Trudov Mat. Inst. Akad. Nauk Ukr. SSR 11 (1948), 97-112 (with M.A. Krasnosel’skii and D.P. Mil’man).
Functional Analysis, in:“ Mathematics in the USSR over 30 years”, Moscow, Leningrad (1948), 608-672 (with L.A. Lyusternik).
Fundamental aspects of the representation theory of Hermitian operators with deficiency index (m,m), Ukr. Mat. Zh., 1, no. 2 (1949), 3-66; English transl.: Amer. Math. Soc. Transi. (2) 97 (1970), 75-143.
Hermitian-positive kernels on homogeneous spaces, I, Ukr. Mat. Zh., 1, no. 4 (1949), 64-98; English transl.: Amer. Math. Soc. Transi. (2) 34 (1963), 69-108.
Infinite J-matrices and the matrix moment problem, Dokl. Akad. Nauk SSSR 69 (1949), 125-128.
On entire almost-periodic functions of exponential type, Dokl. Akad. Nauk SSSR 69 (1949), 285-287 (with B. Ya. Levin).
The duality principle for a bicompact group and square block-algebra, Dokl. Akad. Nauk SSSR 69 (1949), 726-728.
Hermitian-positive kernels on homogeneous spaces, II, Ukr. Mat. Zh., 2, no. 1 (1950), 10-59; English transl.: Amer. Math. Soc. Transi. (2) 34 (1963), 109-164.
On an application of the fixed point principle in the theory of linear transformations of spaces with an indefinite metric, Usp. Mat. Nauk 5, no.2 (1950), 180-190; English transl.: Amer. Math. Soc. Transi. (2) 1 (1955), 27-35.
Remark on a possible generalization of a theorem of A. Haar and A.N. Kolmogorov, Usp. Mat. Nauk 5, no. 1 (1950), 217-229 (with S.I. Zukhovitskii).
Generalization of certain investigations of A.M. Lyapunov on linear differential equations with periodic coefficients, Dokl. Akad. Nauk 73 (1950), 445-448.
On the Sturm-Liouville boundary value problem on the interval (O, ∞) and on a class of integral equations, Dokl. Akad. Nauk SSSR 73 (1950), 1125-1128.
On a one-dimensional singular boundary value problem of even order on the interval (O,∞), Dokl. Akad. Nauk SSSR 74 (1950), 9-12.
On some investigations of A.M. Liapunov concerning differential equations with periodic coefficients, Dokl. Akad. Nauk SSSR 75 (1950), 495-498 (with K.P. Kovalenko).
Oscillation Matrices, Kernels, and Small Oscillations of Mechanical Systems, 2nd edition, Moscow, Leningrad (1950) (with F.R. Gantmakher); German transl.: Akademic Verlag, Berlin (1960).
Concerning the mathematical theory of the method of amplitude-phase modulation, Sb. Trudov Inst. Elektro-tekhn. Akad. Nauk SSSR 7 (1951), 96-104 (with B.I. Korenblyum and S.I. Tetel’baum).
On the theory of entire matrix-functions of exponential type, Ukr. Mat. Zh., 3, no. 2 (1951).
Solution of the inverse Sturm-Liouville problem, Dokl. Akad. Nauk SSSR 76 (1951), 21-24.
Determination of the density of a nonhomogeneous symmetric string from its frequency spectrum, Dokl. Akad. Nauk SSSR 76 (1951), 345-348.
On the application of an algebraic proposition in the theory of monodromy matrices, Usp. Mat. Nauk 6, no.1 (1951), 171-177.
On certain problems of the minimum and maximum of characteristic values and on the Lyapunov zones of stability, Prikl. Mat. Mekh., 15 (1951), 323-348; English transl.: Amer. Math. Soc. Transi. (2) 1 (2955), 163-187.
The ideas of P.L. Chebyshev and A.A. Markov in the theory of limited values of integrals and their further development, Usp. Mat. Nauk 6, no. 4 (1951), 3-120 (with the redactional participation of P. G. Rekhtman); Amer. Math. Soc. Transi. (2) 12 (1959), 1-121.
On a generalization of the Schwarz and Loewner lemmas, Zap. Mat. Otd. Fiz.-Mat. Fak. i Khar’kov. Mat. O.-va (4) 23 (1952), 95-101 (with N.I. Akhiezer).
Stability of the index of an unbounded operator, Mat. Sb., 30 (72) (1952), 219-224 (with M.A. Krasnosel’skii).
On an indetermined case of the Sturm-Liouville boundary value problem on the interval (0,∞), Izv. Akad. Nauk SSSR Ser. Mat., 16 (1952), 293-324.
On inverse problems for a nonhomogeneous string, Dokl. Akad. Nauk SSSR 82 (1952), 669-672.
On a generalization of investigations of Stieltjes, Dokl. Akad. Nauk SSSR 87 (1952), 881-884.
On some new problems of the oscillation theory for Sturmian systems, Prikl. Mat. Mekh., 14 (1952), 555-568.
On a trace formula in perturbation theory, Mat. Sb., 33 (75) (1953), 597-626.
On the transfer function of a one-dimensional second-order boundary value problem, Dokl. Akad. Nauk SSSR 88 (1953), 405-408.
Analogue of the Chebyshev-Markov inequalities in a one-dimensional boundary-value problem, Dokl. Akad. Nauk SSSR 89 (1953), 5-8.
On some cases of effective determination of the density of a nonhomogeneous string from its spectral function, Dokl. Akad. Nauk SSSR 93 (1953), 617-620.
On inverse problems of the theory of filters and λ-zones of stability. Dokl. Akad. Nauk 93 SSSR (1953), 767-770.
A fundamental approximation problem in the theory of extrapolation and filtration of stationary stochastic processes, Dokl. Akad. Nauk SSSR 94 (1954), 13-16; English transl.: Selected Transi, in Math. Statistics and Probability, Inst. of Math. Statistics and Amer. Math. Soc. 4 (1963), 127-131.
On a method of effective resolution of an inverse boundary value problem, Dokl. Akad. Nauk SSSR 94 (1954), 987-990.
On integral equations that generate second-order differential equations, Dokl. Akad. Nauk SSSR 97 (1954), 21-24.
The theory of spectral and transfer functions of one-dimensional boundary value problems and its applications, Usp. Mat. Nauk 9, no. 3 (1954), p. 221.
Development in a new direction of the Chebyshev-Markov theory of limiting values of integrals, Usp. Mat. Nauk 10 no. 1 (1955), 67-78 (with P.G. Rekhtman); English transl.: Amer. Math. Soc. Transi. (2) 12 (1959), 123-135.
On a new method of solving linear integral equations of first and second kind, Dokl. Adkad. Nauk SSSR 100 (1955), 413-416.
On the determination of the potential of a particle from its S-function, Dokl. Akad. Nauk SSSR 105 (1955), 433-436.
Continual analogues of propositions on polynomials orthogonal on the unit circle, Dokl. Akad. Nauk SSSR 105 (1955), 637-640.
On tests for stable boundedness of solutions of periodic canonical systems, Prikl. Mat. Mekh., 19 (1955), 641-680; English transl.: Amer. Math. Soc. Transi. (2) 120 (1983) 71-110.
The basic propositions of the theory of λ-zones of stability of a canonical system of linear differential equations with periodic coefficients, Memorial volume dedicated to A.A. Andronov, Moscow (1955), 413-498; English trans.: Topics in Differential and Integral Equations and Operator Theory, Operator Theory: Advances and Applications, Vol. 7, Birkhäuser, Basel (1983), pp. 1-105, (1983), 1-70.
On some basic propositions of the theory of systems of integral equations on the half-line with kernels depending on the difference of the arguments, Proc. 3rd All-Union Math. Conf., Vol. 2 (1956), pp. 37-38 (with I.C. Gohberg).
Spectral theory of operators in spaces with an indefinite metric, Usp. Mat. Nauk 11, no. 4 (1956), 169-171 (with I.S. Yokhvidov).
Spectral theory of operators in spaces with an indefinite metric. I. Tr. Mosk. Mat. O.-va 5 (1956), 367-432 (with I.S. Yokhvidov); English trans.: Amer. Math. Soc. Transi. (2) 13 (1960), 105-175.
On the theory of accelerants and S-matrices of canonical differential systems, Dokl. Akad. Nauk SSSR 111 (1956), 1167-1170.
Remark to the paper “Spectral theory of operators in spaces with indefinite metric. I,” Tr. Mosk. Mat. O.va 6 (1957), p. 486 (with I.S. Yokhvidov).
The basic propositions on defect numbers, root numbers, and indices of linear operators, Usp. Mat. Nauk 12, no. 2 (1957), 43-118 (with I.C. Gohberg); English trans.: Amer. Math. Soc. Transi. (2) 13 (1960), 185-264.
On Bari bases in Hilbert space, Usp. Mat. Nauk 12, no. 3 (1957), 333-341.
On the characteristic function A(λ) of a linear canonical system of second-order differential equations with periodic coefficients, Prikl. Mat. Mekh., 21 (1957) 320-329.
On a continual analogue of a formula of Christoffel from the theory of orthogonal polynomials, Dokl. Akad. Nauk SSSR 113 (1957), 970-973.
Integral equations on the half-line with kernel depending on the difference of the arguments, Usp. Mat. Nauk 13, no. 5 (1958), 3-120; English transl.: Amer. Math. Soc. Transi. (2) 22 (1962), 163-288.
Criterion for the discreteness of the spectrum of a singular string, Izv. Vyssh. Uchebn. Zaved., Mat., 2 (1958), 136-153 (with I.S. Kats).
On a pair integral equation and its transpose. I, Teor. Prikl. Mat., 1 (1958), 58-81 (with I.C. Gohberg); English trans.: Topics in Differential and Integral Equations and Operator Theory, Operator Theory: Advances and Appl., vol. 7, Birkhäuser, Basel (1983), pp. 243-274.
On the stability of the system of partial indices of the Hilbert problem with several unknown functions, Dokl. Akad. Nauk SSSR 119, (1958), 854-857 (with I.C. Gohberg).
Systems of integral equations on the half-line with kernels depending on the differences of arguments, Usp. Mat. Nauk 13, no. 2 (1958), 3-72 (with I.C. Gohberg); English trans.: Amer. Math. Soc. Transi. (2) 14 (1960), 217-287.
On completely continuous operators with a spectrum concentrated at zero, Dokl. Akad. Nauk SSSR 128 (1959), 227-230 (with I.C. Gohberg).
Criteria for completeness of the system of root vectors of a dissipative operator, Usp. Mat. Nauk 14, no. 3 (1959), 145-152; English transl.: Amer. Math. Soc. Transi. (2) 26 (1963), 221-229.
On an integral representation of a continuous Hermitian-indefinite function with a finite number of negative squares, Dokl. Akad. Nauk SSSR 125 (1959), 31-34.
Spectral theory of operators in spaces with an indefinite metric. II, Tr. Mosk. Mat. O.-va 8 (1959), 413-496 (with I.S. Yokhvidov); English transl.: Amer. Math. Soc. Transi. (2) 34 (1963), 283-373.
On the theory of linear non-self-adjoint operators, Dokl. Akad. Nauk SSSR 130 (1960), 254-256; English transl.: Soviet Math. Dokl., 1 (1960), 38-40.
Hamiltonian systems of linear differential equations with periodic coefficients, Kiev (1961), 1-55 (with V.A. Yakubovich).
On the theory of transmission bands of periodic waveguides, Prikl. Mat. Mekh., 25 (1961), 24-37 (with G. Ya. Lyubarskii); English transl.: J. Appl. Math. Mech., 25 (1961), 29-48.
On the theory of triangular representations of non-self-adjoint operators, Dokl. Akad. Nauk SSSR 137 (1961), 1034-1037 (with I.C. Gohberg); English transl.: Soviet Math. Dokl. 2 (1961), 392-395.
Transformations of kernels of integral equations and their influence on the spectra of these equations, Ukr. Mat. Zh., 13, no.3 (1961), 12-38 (with I.C. Gohberg); English transl.: Amer. Math. Soc. Transi. (2) 35 (1964) 263-295.
On Volterra operators with imaginary component in one class or another, Dokl. Akad. Nauk SSSR 139 (1961), 779-782 (with I.C. Gohberg); English transl.: Soviet Math. Dokl. 2 (1961), 983-986.
An extremum problem for polynomials, Ann. Univ. Sci. Budapest Eötvös Sect. Math. 3-4 (1961), 9-14 (with N.I. Akhiezer).
On the theory of wave operators and scattering operators, Dokl. Akad. Nauk SSSR 144 (1962), 475-478 (with M. Sh. Birman); English transl.: Soviet Math. Dokl. 3 (1962), 740-744.
On the problem of factoring operators in a Hilbert space, Dokl. Akad. Nauk SSSR 147 (1962), 279-282 (with I. C. Gohberg); English transl.: Soviet Math. Dokl. 3 (1962), 1578-1582.
Analytic properties of multipliers of periodic canonical differential systems of positive type, Izv. Akad. Nauk SSSR Ser. Mat., 26 (1962), 549-572 (with G. Ya. Lyubarskii): English transl.: Amer. Math. Soc. Transi. (2) 89 (1970), 1-20.
On perturbation determinants and a trace formula for unitary and self-adjoint operators, Dokl. Akad. Nauk SSSR 144 (1962), 268-271; English Transi.: Soviet Math. Dokl. 3 (1962), 707-710.
Hamiltonian systems of linear differential equations with periodic coefficients, Proc. Internat. Symp. Nonlinear Vibrations, Kiev, Vol. 1 (1963), pp. 277-305 (with V.A. Yakubovich); English transl.: Amer. Mat. Soc. Transi. (2) 120 (1983), 139-168.
Some topics of the theory of wave and scattering operators, Joint Symposium Soviet-American Partial Differen. Equations, Novosibirsk (1963), pp. 3-11 (with M. Sh. Birman).
On some new investigations on the perturbation theory of linear operators, Proc. 4th All-Union Math. Conf., Vol. 1 (1963), 133-134.
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On the theory of quadratic pencils of self-adjoint operators, Dokl. Akad. Nauk SSSR 154 (1964), 1258-1261 (with H. Langer); English transl.: Soviet Math. Dokl. 5 (1964), 266-269.
Criteria for the completeness of the system of root vectors of a contraction, Ukr. Mat. Zh., 16 no. 1 (1964), 78-82 (with I.C. Gohberg); English transl.: Amer. Math. Soc. Transi. (2) 54 (1966), 119-124.
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Some new investigations on the theory of nonselfadjoint operators, Proc. 4th All-Union Math. Congr., Vol. 2 (1964), 261-271 (with M.S. Brodskii, I.C. Gohberg, and V.I. Matsaev); English transl.: Amer. Math. Soc. Transi. (2) 65 (1967), 237-251.
On the factorization of operators in Hilbert space, Acta. Sci. Math. Szeged, 25, 1-2 (1964), 90-123 (with I.C. Gohberg); English transl.: Amer. Math. Soc. Transi. (2) 51 (1966), 155-188.
On a new application of the fixed point principle in the theory of operators in a space with indefinite metric, Dokl. Akad. Nauk SSSR 154 (1964), 1023-1026; English transl.: Soviet Math. Dokl. 5 (1964), 224-228.
Introduction to the geometry of indefinite J-spaces and to the theory of operators in these spaces, Proc. Second Math. Summer School, Vol. 1, Naukova Dumka, Kiev (1965), 15-92; English transl.: Amer. Math. Soc. Transi. (2) 93 (1970), 103-176.
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On the theory of weighted integral equations, Izv. Akad. Nauk Mold. SSR 7 (1965), 40-46.
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On some mathematical principles of the linear theory of damped oscillations of continua, Proc. Internat. Sympos., Tbilisi, Appl. of Function Theory in Mech. of Continua, Vol. 2 (1965), 283-322 (with H. Langer); English transl. Integral Equations and Operator Theory 1 no. 3 (1978), 364-399, and 1 no. 4 (1978), 539-566.
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On some new Banach algebras and Wiener-Levy type theorems for Fourier series and integrals, Mat. Issled., 1, no. 1 (1966), 82-109; English transl.: Amer. Math. Soc. Transl. (2) 93 (1970), 177-199.
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Plus-operators in a space with indefinite metric, Mat. Issled., 1 no. 1 (1966), 131-161 (with Yu. L. Shmul’yan); English transl.: Amer. Math. Soc. Transi. (2), 85 (1969), 93-113.
On the distribution of roots of polynomials orthogonal on the unit circle with respect to a sign-alternating weight, in: Function Theory, Function. Anal, and their Appl., no. 2 (1966), 131-137.
On a class of operators in a space with indefinite metric, Dokl. Akad. Nauk SSSR 171 (1966), 34-37 (with Yu. L. Shmul’yan); English transl.: Soviet Math. Dokl. 7 (1966), 1137-1141.
J-polar representation of plus operators, Mat. Issled., 1, no. 2 (1966), 172-210 (with Yu. L. Shmul’yan); English transl.: Amer. Math. Soc. Transi. (2) 85 (1969), 115-143.
On triangular representations of linear operators and multiplicative representations of their characteristic functions, Dokl. Akad. Nauk SSSR 175 (1967), 272-275 (with I.C. Gohberg); English transl.: Soviet Math. Dokl. 8 (1967), 831-834.
On a description of contraction operators similar to unitary ones, Fukts. Anal. Prilozhen., 1, no. 1 (1967), 38-60 (with I.C. Gohberg).
The description of all solutions of the truncated power moment problem and some problems of operator theory, Mat. Issled., 2 (1967), 114-132; English transl.: Amer. Math. Soc. Transl. (2) 95 (1970), 219-234.
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On linear-fractional transformations with operator coefficients, Mat. Issled., 2, no. 3 (1967), 64-96 (with Yu. L. Shmul’yan): English transl.: Amer. Math. Soc. Transl. (2) 103 (1974), 125-152.
Analytic problems and results in the theory of linear operators in Hilbert space, Proc. Internat. Congress Mathematicians, Moscow, 1966, Mir, Moscow (1968), 189-216; English transl.: Amer. Math. Soc. Transl. (2) 70 (1968), 68-72 and (2) 90 (1970), 181-209.
R-functions: analytic functions mapping the upper half-plane into itself, Appendix I to the Russian transl, of F.V. Atkinson’s book “Discrete and Continuous Boundary Problems”, Mir, Moscow (1968), 629-647 (with I.S. Kats); English transl.: Amer. Math. Soc. Transl. (2), 103 (1974), 1-18.
On the spectral functions of the string, Appendix II to the Russian transl, of F.V. Atkinson’s book “Discrete and Continuous Boundary Problems”, Mir, Moscow (1968), 648-737 (with I.S. Kats); English transl.: Amer. Math. Soc. Transl. (2) 103 (1974), 19-102.
Infinite Hankel matrices and the generalized problems of Carathéodory-Fejér and R. Riesz, Funkts. Anal. Prilozhen, 2, no. 1 (1968), 1-19 (with V.M. Adamyan and D.Z. Arov); English transl.: Function. Anal. Appl., 2, no. 1 (1968), 1-18.
Infinite Hankel matrices and the generalized problems of Carathéordory-Féjer and Schur, Funkts. Anal. Prilozhen., 2, no. 4 (1968), 1-17 (with V.M. Adamyan and D.Z. Arov); English transl.: Function. Anal. Appl., 2, no. 4 (1968), 269-281.
On the theory of S-matrices of canonical differential equations with summable potential, Dokl. Akad. Nauk Arm. SSR 46, no. 4 (1968), 150-155 (with F.E. Melik-Adamyan); English transl.: Topics in Differential and Integral Equations and Operator Theory, Operator Theory: Advances and Appl., Vol. 7, Birkhäuser, Basel (1983), 295-302.
Bounded operators commuting with a contraction of class Coo whose rank of unitarity is one, Funkts. Anal. Prilozhen., 3, no. 3 (1969), 86-87 (with V.M. Adamyan and D.Z. Arov); English transl.: Function. Anal. Appl., 3, no. 3 (1969), 242-243.
General theorems on triangular representations of linear operators and multiplicative representations of their characteristic functions, Funkts. Anal. Prilozhen., 3, no. 4 (1969), 1-27 (with V.M. Brodskii and I.C. Gohberg); English transl.: Function, Anal. Appl., 3, no. 4 (1969), 255-276.
Chebyshev-Markov inequalities in the theory of the spectral function of a string, Mat. Issled., 5, no. 1 (1970), 77-101; English transl.: Amer. Math. Soc. Transl. (2) 103 (1974), 103-124.
Definition and basic properties of the characteristic function of a G-node, Funkts. Anal. Prilozhen., 4, no.1 (1970), 88-90 (with V.M. Brodskii and I.C. Gohberg); English transl.: Function. Anal. Appl. 4, no. 1 (1970), 78-80.
The resolvent matrix of a Hermitian operator and the characteristic functions connected with it, Funkts. Anal. Prilozhen., 4, no. 3 (1970), 103-104 (with Sh. N. Saakyan); English transl.: Function. Anal. Appl., 4, no. 3 (1970), 258-259.
Some applications of the theorem on the factorization of a unitary matrix, Funkts. Anal. Prilozhen., 4, no. 4 (1970), 73-75 (with F.E. Melik-Adamyan) English transl.: Function. Anal. Appl. 4, No. 4 (1970), 327-329.
Some results and problems in the theory of stability of differential equations in a Banach space, Proc. 5th Internat. Conf. Non-linear Oscillations, Kiev, 1969, Vol. I, Akad. Nauk Ukr. SSR (1970), 332-347 (with Yu. L. Daletskii).
Stability of Solutions of Differential Equations in Banach Space, Nauka, Moscow (1970) (with Yu. L. Daletskii); English transl.: Transl. Math. Monographs, Vol. 43, Amer. Math. Soc, Providence, R.I. (1974).
New inequalities for the characteristic numbers of integral equations with smooth kernels, Mat. Issled., 5, no. 1 (1970), 22-39 (with I.C. Gohberg); English transl.: Topics in Differential and Integral Equations and Operator Theory, Operator Theory: Advances and Appl., Vol. 7, Birkhäuser, Basel (1983), 273-293.
Analytic properties of the Schmidt pairs of a Hankel operator and the generalized Schur-Takagi problem. Mat. Sb., 85, no. 1 (1971), 39-73 (with V.M. Adamyan and D.Z. Arov); English transl.: Math. USSR, Sb., 15 (1971), 31-73.
Infinite Hankel block-matrices and related extension problems, Izv. Akad. Nauk Arm. SSR Ser. Mat., 6, No. 2-3 (1971), 87-112 (with V.M. Adamyan and D.Z. Arov); English transl.: Amer. Math. Soc. Transl. (2) 111 (1978) 133-156.
Hankel operators, problems of extrapolation of matrix-functions, and the theory of S-matrices, All-Union Conf. Theory of Functions of a Complex Variable, Khar’kov (1971), 6-8 (with V.M. Adamyan and D.Z. Arov).
On the characteristic functions of an invertible operator, Acta Sci. Math. Szeged, 32, no. 1-2 (1971), 141-164 (with V.M. Brodskii and I.C. Gohberg).
The defect subspaces and generalized resolvents of a Hermitian operator in a space ∏k, I, Funkts. Anal. Prilozhen., 5, no. 2 (1971), 59-71 (with H. Langer); English transl.: Function. Anal. Appl., 5, no. 1 (1971), 136-146.
The defect subspaces and generalized resolvents of a Hermitian operator in a space ∏k. II, Funkts. Anal. Prilozhen., 5, no. 3 (1971), 54-69 (with H. Langer); English transl.: Function. Anal. Appl., 5, no. 3 (1971), 217-228.
Über die verallgemeinerten Resolventen und die charack-terische Funktion eines isometrischen Operators im Räume ∏k, Coll. Math. Soc. Janos Bolyai, 5, Hilbert Space Operators and Operator Algebras (1971), 353-400 (with H. Langer).
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On some new problems for Hardy-class functions and continuous families of doubly orthogonal functions, Dokl. Akad. Nauk SSSR, 209 (1973), 537-540 (with P.Ya. Nudel’man); English transl.: Soviet Math. Dokl. 14 (1973), 435-439.
On a conjecture of A.M. Lyapunov, Funkts. Anal. Prilozhen., 7, no. 3 (1973), 45-54; English transl.: Function. Anal. Appl., 7, no. 3 (1973), 204-212.
Uber die Q-Funktionen eines ∏-Hermiteschen Operators im Raume ∏k, Acta Sci. Math. Szeged, 34 (1973), 191-230 (with H. Langer).
On some spatial isoperimetric problems, Kvant, No. 2 (1973), 22-26 (with A.A. Nudel’man).
A ballistic problem in cosmos, Kvant, No. 5 (1973), 2-6 (with K.R. Kovalenko).
Approximation of functions in L2(w1,W2) by transfer functions of linear systems with minimal energy, Problemy Pered. Inform., 11, no. 2 (1975), 37-60 (with P. Ya. Nudel’man); English transl.: Problems of Inform. Transm. (1975), 124-142.
On the indefinite power moment problem, Dokl. Akad. Nauk SSSR 226 (1976), 261-264 (with H. Langer; English transl.: Soviet Math. Dokl. 17 (1976), 90-93.
On generalized resolvents and resolvent matrices of positive Hermitian operators, Dokl. Akad. Nauk SSSR, 213 (1976), 1063-1066 (with I.E. Ovcharenko); English transl.: Soviet Math. Dokl., 17 (1976), 1705-1709.
On nonlinear integral equations which play a role in the theory of Wiener-Hopf equations. I, Mat. Issled., no. 42 (1976), 47-90 and II, Mat. Issled., no. 45 (1977), 67-92; English transl.: Topics in Differential and Integral Equations and Operator Theory, Operator Theory: Advances and Appl., Vol. 7, Birkhäuser, Basel (1983), 173-242.
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On Q-functions and sc-resolvents of non-densely defined Hermitian contractions, Sib. Mat. Zh., 18, no. 5 (1977), 1032-1056 (with I.E. Ovcharenko); English transl.: Sib. Math. J., 18, no. 5 (1977), 728-746.
Remark of a theorem of V.A. Yakubovic: “Frequency theorem for the case when...”, Sib. Mat. Zh., 18, no. 6 (1977), 1411-1412; English transl.: Sib. Math. J., 18, No. 6 (1977), 1001-1002.
On some new results in the theory of factorization of matrix-functions on the unit circle, Dokl. Akad. Nauk SSSR, 234 (1977), 287-290 (with I. M. Spitkovskii); English transl.: Soviet Math. Dokl., 18 (1977), 641-645.
On an interpolation problem connected with the Stieltjes moment problem, Dokl. Akad. Nauk Ukr. SSR, Ser. A., no. 12 (1977), 1068-1072 (with A.A. Nudel’man).
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On measurable Hermitian-positive functions, Mat. Zametki 23, no. 1 (1978), 79-89; English transl.: Math. Notes 23, no. 1 (1978), 45-50.
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On some extension problems which are closely related to the theory of Hermitian operators in a space ∏k. III. Indefinite analogues of the Hamburger and Stieltjes moment problems, Part I, Beitrage Anal. no. 14 (1979), 25-40 (with H. Langer).
Some propositions on the Fourier-Plancherel and Paley-Wiener type obtained by methods in the theory spectral of functions, Funkts. Anal. Prilozhen, 13, no. 4 (1979), 79-80 (with A.A. Nudel’man); English transl.: Function. Anal. Appl., 13, no. 4 (1979), 301-303.
On direct and inverse problem for the boundary-dissipation frequencies of a non-uniform string, Dokl. Akad. Nauk SSSR, 247 (1979), 1046-1049 (with A.A. Nudel’man); English transl.: Soviet Math. Dokl. 20 (1979), 838-841.
On some extension problems which are closely related to the theory of Hermitian operators in a space ∏k. III. Indefinite analogues of the Hamburger and Stieltjes moment problems, Part II, Beitrage Anal. No. 15 (1980), 27-45 (with H. Langer).
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Continual analogues of orthogonal polynomials with respect to an indefinite weight on the unit circle and extension problems related to them, Dokl. Akad. Nauk, SSSR, 258 (1981), 537-542 (with H. Langer); English transl.: Soviet Math. Dokl., 23 (1981), 553-557.
On representation of entire functions positive on the real axis, or on a semi-axis, or outside a finite interval, Linear Operators and Integral Equations, Mat. Issled., no. 61 (1981), 40-59 (with A.A. Nudel’man); English transl.: Amer. Math. Soc. Transl. (2), 127 (1986), 17-32.
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Spectral shift functions that arise in perturbations of a positive operator, J. Operator Theory, 6, no. 1 (1981), 155-191 (with V.A. Yavryan).
On nonstandard variational problems of determination of optimal form of a vessel, Proc. Anniversary Scientific Session, Bolgarian Institute of Ship Hydrodynamics, Sofia (1981), pp. 77-1-77-5 (with V.G. Sizov).
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On the calculation of entropy functionals and of their minima in indetermined continuation problems, Acta Sci. Math. Szeged, 45 (1983), 33-50 (with D.Z. Arov).
Some generalizations of Szegö’s first limit theorem, Anal. Mat. 9, no. 1 (1983), 23-41 (with I.M. Spitkovskii).
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Some problems connected with the Szego limit theorems, Lecture Notes Math., Vol. 1043 (1984), (with I.M. Spitkovskii).
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Gohberg, I. (1988). Bibliography of Mark Grigor’Evich Krein. In: Gohberg, I. (eds) Orthogonal Matrix-valued Polynomials and Applications. Operator Theory: Advances and Applications, vol 34. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5472-6_1
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