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Vilenkin Naum Yakovlevich

Publications in Math-Net.Ru

  1. Representations of Lie groups, and special functions

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 59 (1990),  145–264
  2. Computation of an integral containing Bessel functions

    Mat. Zametki, 30:2 (1981),  185–186
  3. Integral relations for Meijer $G$-functions and representations of the $n$-dimensional Lorentz group

    Izv. Vyssh. Uchebn. Zaved. Mat., 1979, no. 5,  13–19
  4. Combinatorial proof of certain identities

    Mat. Zametki, 24:2 (1978),  295–299
  5. A certain theorem of S. B. Stečkin on absolute convergence, and series in systems of characters of zero-dimensional abelian groups

    Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 9,  3–9
  6. On cross products of orthonormal systems of functions

    Mat. Zametki, 13:3 (1973),  469–480
  7. Hypergeometric functions of several variables, and degenerate representations of the group $SL(n,R)$

    Izv. Vyssh. Uchebn. Zaved. Mat., 1970, no. 4,  50–55
  8. Integral relations for the Whittaker functions and the representations of the three-dimensional Lorentz group

    Mat. Sb. (N.S.), 81(123):2 (1970),  185–191
  9. Laguerre polynomials, Whittaker functions and the representations of groups of bordered matrices

    Mat. Sb. (N.S.), 75(117):3 (1968),  432–444
  10. Irreducible representations of the group $\mathrm{SU}(n)$ of class I relative to $\mathrm{SU}(n-1)$

    Izv. Vyssh. Uchebn. Zaved. Mat., 1967, no. 7,  9–20
  11. Integral transforms of functions on hyperboloids. I

    Mat. Sb. (N.S.), 74(116):1 (1967),  119–132
  12. Polyspherical and orispherical functions

    Mat. Sb. (N.S.), 68(110):3 (1965),  432–443
  13. Functional composition theorems for the hypergeometric function

    Mat. Sb. (N.S.), 65(107):1 (1964),  28–46
  14. The hypergeometric function and representations of the group of real second-order matrices

    Mat. Sb. (N.S.), 64(106):4 (1964),  497–520
  15. An asymptotic formula for Bessel function

    Zh. Vychisl. Mat. Mat. Fiz., 4:6 (1964),  1097–1102
  16. Special functions associated with class 1 representations of the motion groups of spaces of constant curvature

    Tr. Mosk. Mat. Obs., 12 (1963),  185–257
  17. Hypergeometric function and representations of groups of real unimodular $2\times2$-matrices

    Uspekhi Mat. Nauk, 18:2(110) (1963),  185–186
  18. Cubature formulas for the calculation of the moments of functions of two variables

    Izv. Vyssh. Uchebn. Zaved. Mat., 1960, no. 4,  49–54
  19. On the theory of positive definite generalized kernels

    Uspekhi Mat. Nauk, 15:3(93) (1960),  139–146
  20. О содержании курса математики в средней школе

    Mat. Pros., Ser. 2, 4 (1959),  131–143
  21. The matrix elements of irreducible unitary representations of a group of Lobachevsky space motions and the generalized Fock–Mehler transformations

    Dokl. Akad. Nauk SSSR, 118:2 (1958),  219–222
  22. Dyadicity of the group space of bicompact commutative groups

    Uspekhi Mat. Nauk, 13:6(84) (1958),  79–80
  23. Some relations for Gegenbauer functions

    Uspekhi Mat. Nauk, 13:3(81) (1958),  167–172
  24. Continuous analogue of the addition theorem for Jacobi polynomials

    Uspekhi Mat. Nauk, 13:2(80) (1958),  157–161
  25. The matrix elements of irreducible unitary representations of the group of real orthogonal matrices and group of Euclidean $(n-1)$-dimensional space motions

    Dokl. Akad. Nauk SSSR, 113:1 (1957),  16–19
  26. The matrix elements of irreducible unitary representations of the group of Euclidean three-dimensional space motions, and their properties

    Dokl. Akad. Nauk SSSR, 112:6 (1957),  987–989
  27. On a generating function for Jacobi polynomials

    Uspekhi Mat. Nauk, 12:6(78) (1957),  137–142
  28. On the theory of associated spherical functions on Lie groups

    Mat. Sb. (N.S.), 42(84):4 (1957),  485–496
  29. Bessel functions and representations of the group of Euclidean motions

    Uspekhi Mat. Nauk, 11:3(69) (1956),  69–112
  30. On a class of locally compact zero-dimensional topological groups

    Mat. Sb. (N.S.), 40(82):4 (1956),  479–496
  31. Generalized normal divisors of topological groups and their applications to combinatorial topology

    Tr. Mosk. Mat. Obs., 3 (1954),  15–88
  32. On the classification of zero-dimensional locally compact abelian groups with an everywhere dense set of elements of finite order

    Mat. Sb. (N.S.), 34(76):1 (1954),  55–80
  33. On selection of a subgroup of elements of finite order as a direct summand in groups of type $P$

    Mat. Sb. (N.S.), 33(75):1 (1953),  37–44
  34. Vector spaces over topological fields

    Mat. Sb. (N.S.), 32(74):1 (1953),  195–208
  35. On the theory of orthogonal kernels

    Uspekhi Mat. Nauk, 7:3(49) (1952),  63–82
  36. On the theory of Fourier integrals on topological groups

    Mat. Sb. (N.S.), 30(72):2 (1952),  233–244
  37. Direct and inverse spectra of topological groups and their character theories

    Izv. Akad. Nauk SSSR Ser. Mat., 15:6 (1951),  503–532
  38. The theory of characters of topological Abelian groups with boundedness given

    Izv. Akad. Nauk SSSR Ser. Mat., 15:5 (1951),  439–462
  39. On the determination of the dimension of a compact metric space by means of the ring of continuous functions on it

    Uspekhi Mat. Nauk, 6:5(45) (1951),  160–161
  40. Direct decompositions of topological groups. III

    Mat. Sb. (N.S.), 29(71):3 (1951),  519–528
  41. Direct operations on topological groups

    Mat. Sb. (N.S.), 29(71):2 (1951),  371–402
  42. On the isomorphism of locally compact zero-dimensional Abelian groups with isomorphic factors

    Mat. Sb. (N.S.), 29(71):1 (1951),  31–62
  43. On the existence of locally compact groups with given Ulm factors

    Mat. Sb. (N.S.), 29(71):1 (1951),  13–30
  44. On the classification of zero-dimensional locally compact periodic Abelian groups without elements of finite order

    Mat. Sb. (N.S.), 28(70):3 (1951),  503–536
  45. Theory of topological groups. II. Direct products. Direct sums of groups of order 1. Locally compact Abelian groups. Fibered and weakly separable groups

    Uspekhi Mat. Nauk, 5:4(38) (1950),  19–74
  46. Investigations on the theory of topological Abelian groups

    Uspekhi Mat. Nauk, 5:2(36) (1950),  208–210
  47. On the classification of separable and coseparable topological Abelian groups

    Mat. Sb. (N.S.), 27(69):1 (1950),  85–102
  48. On the theory of lacunary orthogonal systems

    Izv. Akad. Nauk SSSR Ser. Mat., 13:3 (1949),  245–252
  49. Fibered Abelian topological groups and their character theory

    Mat. Sb. (N.S.), 24(66):2 (1949),  189–226
  50. On the theory of weakly separable groups

    Mat. Sb. (N.S.), 22(64):1 (1948),  135–177
  51. On a class of complete orthonormal systems

    Izv. Akad. Nauk SSSR Ser. Mat., 11:4 (1947),  363–400
  52. On direct decompositions of topological groups. II

    Rec. Math. [Mat. Sbornik] N.S., 19(61):2 (1946),  311–340
  53. On direct decompositions of topological groups

    Rec. Math. [Mat. Sbornik] N.S., 19(61):1 (1946),  85–154

  54. I. K. Andronov, “Mathematics for technical schools” (review)

    Uspekhi Mat. Nauk, 22:3(135) (1967),  283–286
  55. Письмо в редакцию

    Dokl. Akad. Nauk SSSR, 120:4 (1958),  688
  56. О равномерной непрерывности функции

    Mat. Pros., Ser. 2, 1 (1957),  167–168
  57. On teaching mathematics in pedagogical institutes

    Uspekhi Mat. Nauk, 12:2(74) (1957),  199–209
  58. I. K. Andronov, The arithmetic of natural numbers (review)

    Uspekhi Mat. Nauk, 10:2(64) (1955),  225–228
  59. Paths of development of algebra

    Uspekhi Mat. Nauk, 7:3(49) (1952),  155–178
  60. Corrections to the paper: “Direct decompositions of topological groups. I”

    Mat. Sb. (N.S.), 22(64):1 (1948),  191–192

© Steklov Math. Inst. of RAS, 2024