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Vilenkin, Naum Yakovlevich
Statistics Math-Net.Ru
Total publications: 60
Scientific articles: 53

Number of views:
This page:4386
Abstract pages:19867
Full texts:12959
References:44

https://www.mathnet.ru/eng/person23816
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/193238

Publications in Math-Net.Ru Citations
1990
1. N. Ya. Vilenkin, A. U. Klimyk, “Representations of Lie groups, and special functions”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 59 (1990),  145–264  mathnet  mathscinet  zmath 6
1981
2. N. Ya. Vilenkin, “Computation of an integral containing Bessel functions”, Mat. Zametki, 30:2 (1981),  185–186  mathnet  mathscinet  zmath; Math. Notes, 30:2 (1981), 579–580  isi
1979
3. N. Vilenkin, A. I. Nizhnikov, “Integral relations for Meijer $G$-functions and representations of the $n$-dimensional Lorentz group”, Izv. Vyssh. Uchebn. Zaved. Mat., 1979, no. 5,  13–19  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 23:5 (1979), 11–17 1
1978
4. N. Ya. Vilenkin, L. M. Koganov, “Combinatorial proof of certain identities”, Mat. Zametki, 24:2 (1978),  295–299  mathnet  mathscinet  zmath; Math. Notes, 24:2 (1978), 658–660
1975
5. N. Ya. Vilenkin, A. I. Rubinshtein, “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  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 19:9 (1975), 1–7 4
1973
6. N. Ya. Vilenkin, S. V. Zotikov, “On cross products of orthonormal systems of functions”, Mat. Zametki, 13:3 (1973),  469–480  mathnet  mathscinet  zmath; Math. Notes, 13:3 (1973), 281–287
1970
7. N. Ya. Vilenkin, “Hypergeometric functions of several variables, and degenerate representations of the group $SL(n,R)$”, Izv. Vyssh. Uchebn. Zaved. Mat., 1970, no. 4,  50–55  mathnet  mathscinet  zmath 1
8. N. Ya. Vilenkin, M. A. Shleinikova, “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  mathnet  mathscinet  zmath; Math. USSR-Sb., 10:2 (1970), 173–179 7
1968
9. N. Ya. Vilenkin, “Laguerre polynomials, Whittaker functions and the representations of groups of bordered matrices”, Mat. Sb. (N.S.), 75(117):3 (1968),  432–444  mathnet  mathscinet  zmath; Math. USSR-Sb., 4:3 (1968), 399–410 3
1967
10. N. Ya. Vilenkin, R. L. Shapiro, “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  mathnet  mathscinet  zmath
11. N. Ya. Vilenkin, “Integral transforms of functions on hyperboloids. I”, Mat. Sb. (N.S.), 74(116):1 (1967),  119–132  mathnet  mathscinet  zmath; Math. USSR-Sb., 3:1 (1967), 109–121 3
1965
12. N. Ya. Vilenkin, “Polyspherical and orispherical functions”, Mat. Sb. (N.S.), 68(110):3 (1965),  432–443  mathnet  mathscinet  zmath
1964
13. N. Ya. Vilenkin, “Functional composition theorems for the hypergeometric function”, Mat. Sb. (N.S.), 65(107):1 (1964),  28–46  mathnet  mathscinet  zmath 1
14. N. Ya. Vilenkin, “The hypergeometric function and representations of the group of real second-order matrices”, Mat. Sb. (N.S.), 64(106):4 (1964),  497–520  mathnet  mathscinet  zmath
15. N. Ya. Vilenkin, V. V. Tsukerman, “An asymptotic formula for Bessel function”, Zh. Vychisl. Mat. Mat. Fiz., 4:6 (1964),  1097–1102  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 4:6 (1964), 166–173 1
1963
16. N. Ya. Vilenkin, “Special functions associated with class 1 representations of the motion groups of spaces of constant curvature”, Tr. Mosk. Mat. Obs., 12 (1963),  185–257  mathnet  mathscinet  zmath 3
17. N. Ya. Vilenkin, “Hypergeometric function and representations of groups of real unimodular $2\times2$-matrices”, Uspekhi Mat. Nauk, 18:2(110) (1963),  185–186  mathnet
1960
18. N. Ya. Vilenkin, “Cubature formulas for the calculation of the moments of functions of two variables”, Izv. Vyssh. Uchebn. Zaved. Mat., 1960, no. 4,  49–54  mathnet  mathscinet  zmath
19. N. Ya. Vilenkin, “On the theory of positive definite generalized kernels”, Uspekhi Mat. Nauk, 15:3(93) (1960),  139–146  mathnet  mathscinet  zmath
1959
20. V. G. Boltyanskii, N. Ya. Vilenkin, I. M. Yaglom, “О содержании курса математики в средней школе”, Mat. Pros., Ser. 2, 4 (1959),  131–143  mathnet
1958
21. N. Ya. Vilenkin, “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  mathnet  mathscinet  zmath 3
22. N. Ya. Vilenkin, “Dyadicity of the group space of bicompact commutative groups”, Uspekhi Mat. Nauk, 13:6(84) (1958),  79–80  mathnet  mathscinet  zmath 2
23. N. Ya. Vilenkin, “Some relations for Gegenbauer functions”, Uspekhi Mat. Nauk, 13:3(81) (1958),  167–172  mathnet  mathscinet  zmath
24. N. Ya. Vilenkin, “Continuous analogue of the addition theorem for Jacobi polynomials”, Uspekhi Mat. Nauk, 13:2(80) (1958),  157–161  mathnet  mathscinet  zmath
1957
25. N. Ya. Vilenkin, “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  mathnet  mathscinet  zmath 1
26. N. Ya. Vilenkin, È. L. Akim, A. A. Levin, “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  mathnet  mathscinet  zmath 2
27. N. Ya. Vilenkin, “On a generating function for Jacobi polynomials”, Uspekhi Mat. Nauk, 12:6(78) (1957),  137–142  mathnet  mathscinet  zmath
28. N. Ya. Vilenkin, “On the theory of associated spherical functions on Lie groups”, Mat. Sb. (N.S.), 42(84):4 (1957),  485–496  mathnet  mathscinet  zmath 1
1956
29. N. Ya. Vilenkin, “Bessel functions and representations of the group of Euclidean motions”, Uspekhi Mat. Nauk, 11:3(69) (1956),  69–112  mathnet  mathscinet  zmath 2
30. N. Ya. Vilenkin, “On a class of locally compact zero-dimensional topological groups”, Mat. Sb. (N.S.), 40(82):4 (1956),  479–496  mathnet  mathscinet  zmath
1954
31. N. Ya. Vilenkin, “Generalized normal divisors of topological groups and their applications to combinatorial topology”, Tr. Mosk. Mat. Obs., 3 (1954),  15–88  mathnet  mathscinet  zmath 1
32. N. Ya. Vilenkin, “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  mathnet  mathscinet  zmath
1953
33. N. Ya. Vilenkin, “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  mathnet  mathscinet  zmath
34. N. Ya. Vilenkin, “Vector spaces over topological fields”, Mat. Sb. (N.S.), 32(74):1 (1953),  195–208  mathnet  mathscinet  zmath
1952
35. N. Ya. Vilenkin, “On the theory of orthogonal kernels”, Uspekhi Mat. Nauk, 7:3(49) (1952),  63–82  mathnet  mathscinet  zmath
36. N. Ya. Vilenkin, “On the theory of Fourier integrals on topological groups”, Mat. Sb. (N.S.), 30(72):2 (1952),  233–244  mathnet  mathscinet  zmath 1
1951
37. N. Ya. Vilenkin, “Direct and inverse spectra of topological groups and their character theories”, Izv. Akad. Nauk SSSR Ser. Mat., 15:6 (1951),  503–532  mathnet  mathscinet  zmath 1
38. N. Ya. Vilenkin, “The theory of characters of topological Abelian groups with boundedness given”, Izv. Akad. Nauk SSSR Ser. Mat., 15:5 (1951),  439–462  mathnet  mathscinet  zmath
39. N. Ya. Vilenkin, “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  mathnet  mathscinet  zmath
40. N. Ya. Vilenkin, “Direct decompositions of topological groups. III”, Mat. Sb. (N.S.), 29(71):3 (1951),  519–528  mathnet  mathscinet  zmath
41. N. Ya. Vilenkin, “Direct operations on topological groups”, Mat. Sb. (N.S.), 29(71):2 (1951),  371–402  mathnet  mathscinet  zmath
42. N. Ya. Vilenkin, “On the isomorphism of locally compact zero-dimensional Abelian groups with isomorphic factors”, Mat. Sb. (N.S.), 29(71):1 (1951),  31–62  mathnet  mathscinet  zmath
43. N. Ya. Vilenkin, “On the existence of locally compact groups with given Ulm factors”, Mat. Sb. (N.S.), 29(71):1 (1951),  13–30  mathnet  mathscinet  zmath
44. N. Ya. Vilenkin, “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  mathnet  mathscinet  zmath
1950
45. N. Ya. Vilenkin, “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  mathnet  mathscinet  zmath
46. N. Ya. Vilenkin, “Investigations on the theory of topological Abelian groups”, Uspekhi Mat. Nauk, 5:2(36) (1950),  208–210  mathnet  mathscinet  zmath
47. N. Ya. Vilenkin, “On the classification of separable and coseparable topological Abelian groups”, Mat. Sb. (N.S.), 27(69):1 (1950),  85–102  mathnet  mathscinet  zmath
1949
48. N. Ya. Vilenkin, “On the theory of lacunary orthogonal systems”, Izv. Akad. Nauk SSSR Ser. Mat., 13:3 (1949),  245–252  mathnet  mathscinet  zmath 7
49. N. Ya. Vilenkin, “Fibered Abelian topological groups and their character theory”, Mat. Sb. (N.S.), 24(66):2 (1949),  189–226  mathnet  mathscinet  zmath
1948
50. N. Ya. Vilenkin, “On the theory of weakly separable groups”, Mat. Sb. (N.S.), 22(64):1 (1948),  135–177  mathnet  mathscinet  zmath
1947
51. N. Vilenkin, “On a class of complete orthonormal systems”, Izv. Akad. Nauk SSSR Ser. Mat., 11:4 (1947),  363–400  mathnet  mathscinet  zmath 35
1946
52. N. Vilenkin, “On direct decompositions of topological groups. II”, Rec. Math. [Mat. Sbornik] N.S., 19(61):2 (1946),  311–340  mathnet  mathscinet  zmath
53. N. Vilenkin, “On direct decompositions of topological groups”, Rec. Math. [Mat. Sbornik] N.S., 19(61):1 (1946),  85–154  mathnet  mathscinet  zmath 1
1967
54. N. Ya. Vilenkin, È. Z. Shuvalova, “I. K. Andronov, “Mathematics for technical schools” (review)”, Uspekhi Mat. Nauk, 22:3(135) (1967),  283–286  mathnet
1958
55. N. Ya. Vilenkin, “Письмо в редакцию”, Dokl. Akad. Nauk SSSR, 120:4 (1958),  688  mathnet
1957
56. N. Ya. Vilenkin, “О равномерной непрерывности функции”, Mat. Pros., Ser. 2, 1 (1957),  167–168  mathnet
57. N. Ya. Vilenkin, I. M. Yaglom, “On teaching mathematics in pedagogical institutes”, Uspekhi Mat. Nauk, 12:2(74) (1957),  199–209  mathnet  zmath
1955
58. N. Ya. Vilenkin, I. M. Yaglom, “I. K. Andronov, The arithmetic of natural numbers (review)”, Uspekhi Mat. Nauk, 10:2(64) (1955),  225–228  mathnet
1952
59. B. N. Delone, A. G. Kurosh, A. N. Kolmogorov, A. A. Markov, A. O. Gel'fond, N. N. Meiman, I. N. Sanov, N. Ya. Vilenkin, “Paths of development of algebra”, Uspekhi Mat. Nauk, 7:3(49) (1952),  155–178  mathnet  mathscinet  zmath
1948
60. N. Ya. Vilenkin, “Corrections to the paper: “Direct decompositions of topological groups. I””, Mat. Sb. (N.S.), 22(64):1 (1948),  191–192  mathnet  mathscinet

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