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Gohberg Israel

Publications in Math-Net.Ru

  1. The Inverse Problem for Krein Orthogonal Matrix Functions

    Funktsional. Anal. i Prilozhen., 41:2 (2007),  44–57
  2. Pairs of selfadjoint operators and their invariants

    Algebra i Analiz, 16:1 (2004),  70–120
  3. A criterion for factorization of operator-functions with respect to a contour

    Dokl. Akad. Nauk SSSR, 209:3 (1973),  529–532
  4. On a local principle in the problem of the factorization of continuous operator-functions

    Funktsional. Anal. i Prilozhen., 7:3 (1973),  79–80
  5. On the factorization of continuous operator functions relative to a contour in Banach algebras

    Dokl. Akad. Nauk SSSR, 206:2 (1972),  273–276
  6. Canonical factorization of continuous operator functions relative to the circle

    Funktsional. Anal. i Prilozhen., 6:1 (1972),  73–74
  7. A projection method for solving singular integral equations

    Dokl. Akad. Nauk SSSR, 196:5 (1971),  1002–1005
  8. Projection method for solving degenerate discrete Wiener-Hopf equations

    Funktsional. Anal. i Prilozhen., 5:4 (1971),  69–70
  9. Singular integral operators with piecewise continuous coefficients and their symbols

    Izv. Akad. Nauk SSSR Ser. Mat., 35:4 (1971),  940–964
  10. An operator generalization of the logarithmic residue theorem and the theorem of Rouché

    Mat. Sb. (N.S.), 84(126):4 (1971),  607–629
  11. The symbols of one-dimensional singular integral operators on an open contour

    Dokl. Akad. Nauk SSSR, 191:1 (1970),  12–15
  12. Algebra generated by one-dimensional singular integral operators with piecewise continuous coefficients

    Funktsional. Anal. i Prilozhen., 4:3 (1970),  26–36
  13. Determination and fundamental properties of the characteristic function of $\mathcal{Y}$-node

    Funktsional. Anal. i Prilozhen., 4:1 (1970),  88–90
  14. Systems of singular integral equations in $L_p$ spaces with weight

    Dokl. Akad. Nauk SSSR, 186:5 (1969),  998–1001
  15. The spectrum of singular integral operators in $L_p$ spaces with weight

    Dokl. Akad. Nauk SSSR, 185:4 (1969),  745–748
  16. General theorems on triangular representations of linear operators and multiplications of their characteristic functions

    Funktsional. Anal. i Prilozhen., 3:4 (1969),  1–27
  17. The algebra generated by the Toeplitz matrices

    Funktsional. Anal. i Prilozhen., 3:2 (1969),  46–56
  18. Wiener–Hopf integro-difference equations

    Dokl. Akad. Nauk SSSR, 183:1 (1968),  25–28
  19. Norm of the Hilbert transformation in the $L_p$ space

    Funktsional. Anal. i Prilozhen., 2:2 (1968),  91–92
  20. Triangular representations of linear operators and multiplicative representations of their characteristic functions

    Dokl. Akad. Nauk SSSR, 175:2 (1967),  272–275
  21. Teoplitz matrices of Fourier coefficients of piecewise-continuous functions

    Funktsional. Anal. i Prilozhen., 1:2 (1967),  91–92
  22. Description of contraction operators which are similar to unitary operators

    Funktsional. Anal. i Prilozhen., 1:1 (1967),  38–60
  23. Reduction method for systems of equations of Wiener–Hopf type

    Dokl. Akad. Nauk SSSR, 165:2 (1965),  268–271
  24. Multiplicative representation of the characteristic functions of operators close to unitary

    Dokl. Akad. Nauk SSSR, 164:4 (1965),  732–735
  25. Approximate solutions of some classes of linear equations

    Dokl. Akad. Nauk SSSR, 160:4 (1965),  750–753
  26. The factorization problem for operator functions

    Izv. Akad. Nauk SSSR Ser. Mat., 28:5 (1964),  1055–1082
  27. A factorization problem in normed rings, functions of isometric and symmetric operators and singular integral equations

    Uspekhi Mat. Nauk, 19:1(115) (1964),  71–124
  28. Some relations between eigenvalues and matrix elements of linear operators

    Mat. Sb. (N.S.), 64(106):4 (1964),  481–496
  29. Factorization of operator functions

    Uspekhi Mat. Nauk, 18:2(110) (1963),  180–182
  30. On the problem of factoring operators in a Hilbert space

    Dokl. Akad. Nauk SSSR, 147:2 (1962),  279–282
  31. A general theorem concerning the factorization of matrix-functions in normed rings, and its applications

    Dokl. Akad. Nauk SSSR, 146:2 (1962),  284–287
  32. Tests for one-sided invertibility of elements in normed rings, and their applications

    Dokl. Akad. Nauk SSSR, 145:5 (1962),  971–974
  33. Volterra operators with imaginary component in one class or another

    Dokl. Akad. Nauk SSSR, 139:4 (1961),  779–782
  34. On the theory of triangular representations of nonselfadjoint operators

    Dokl. Akad. Nauk SSSR, 137:5 (1961),  1034–1037
  35. On the theory of multidimensional singular integral equations

    Dokl. Akad. Nauk SSSR, 133:6 (1960),  1279–1282
  36. On a multidimensional integral equation on a half-space whose kernel is a function of the difference of the arguments, and on a discrete analogue of this equation

    Dokl. Akad. Nauk SSSR, 131:1 (1960),  9–12
  37. Characteristic properties of certain points of the spectrum of bounded linear operators

    Izv. Vyssh. Uchebn. Zaved. Mat., 1960, no. 2,  74–87
  38. Two theorems on the gap between subspaces of a Banach space

    Uspekhi Mat. Nauk, 14:5(89) (1959),  135–140
  39. On bounds of indexes of matrix-functions

    Uspekhi Mat. Nauk, 14:4(88) (1959),  159–163
  40. On the number of solutions of a homogeneous singular integral equation with continuous coefficients

    Dokl. Akad. Nauk SSSR, 122:3 (1958),  327–330
  41. On the stable system of partial indices in the Hilbert problem for many unknown functions

    Dokl. Akad. Nauk SSSR, 119:5 (1958),  854–857
  42. Systems of integral equations on the half-line with kernels depending on the difference of the arguments

    Uspekhi Mat. Nauk, 13:2(80) (1958),  3–72
  43. Fundamental aspects of defect numbers, root numbers and indexes of linear operators

    Uspekhi Mat. Nauk, 12:2(74) (1957),  43–118
  44. On the index, null elements and elements of the kernel of an unbounded operator

    Uspekhi Mat. Nauk, 12:1(73) (1957),  177–179
  45. On stability of certain properties of normally soluble operators

    Mat. Sb. (N.S.), 40(82):4 (1956),  453–466
  46. On the index of an unbounded operator

    Mat. Sb. (N.S.), 33(75):1 (1953),  193–198
  47. On an application of the theory of normed rings to singular integral equations

    Uspekhi Mat. Nauk, 7:2(48) (1952),  149–156

  48. Mark Grigor'evich Krein (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 23:3(141) (1968),  197–214
  49. Errata

    Uspekhi Mat. Nauk, 13:4(82) (1958),  232

© Steklov Math. Inst. of RAS, 2024