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Publications in Math-Net.Ru |
Citations |
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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 |
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1981 |
2. |
N. Ya. Vilenkin, “Computation of an integral containing Bessel functions”, Mat. Zametki, 30:2 (1981), 185–186 ; Math. Notes, 30:2 (1981), 579–580 |
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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 ; Soviet Math. (Iz. VUZ), 23:5 (1979), 11–17 |
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1978 |
4. |
N. Ya. Vilenkin, L. M. Koganov, “Combinatorial proof of certain identities”, Mat. Zametki, 24:2 (1978), 295–299 ; Math. Notes, 24:2 (1978), 658–660 |
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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 ; Soviet Math. (Iz. VUZ), 19:9 (1975), 1–7 |
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1973 |
6. |
N. Ya. Vilenkin, S. V. Zotikov, “On cross products of orthonormal systems of functions”, Mat. Zametki, 13:3 (1973), 469–480 ; Math. Notes, 13:3 (1973), 281–287 |
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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 |
1
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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 ; Math. USSR-Sb., 10:2 (1970), 173–179 |
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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 ; Math. USSR-Sb., 4:3 (1968), 399–410 |
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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 |
11. |
N. Ya. Vilenkin, “Integral transforms of functions on hyperboloids. I”, Mat. Sb. (N.S.), 74(116):1 (1967), 119–132 ; Math. USSR-Sb., 3:1 (1967), 109–121 |
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1965 |
12. |
N. Ya. Vilenkin, “Polyspherical and orispherical functions”, Mat. Sb. (N.S.), 68(110):3 (1965), 432–443 |
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1964 |
13. |
N. Ya. Vilenkin, “Functional composition theorems for the hypergeometric function”, Mat. Sb. (N.S.), 65(107):1 (1964), 28–46 |
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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 |
15. |
N. Ya. Vilenkin, V. V. Tsukerman, “An asymptotic formula for Bessel function”, Zh. Vychisl. Mat. Mat. Fiz., 4:6 (1964), 1097–1102 ; U.S.S.R. Comput. Math. Math. Phys., 4:6 (1964), 166–173 |
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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 |
3
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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 |
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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 |
19. |
N. Ya. Vilenkin, “On the theory of positive definite generalized kernels”, Uspekhi Mat. Nauk, 15:3(93) (1960), 139–146 |
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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 |
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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 |
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22. |
N. Ya. Vilenkin, “Dyadicity of the group space of bicompact commutative groups”, Uspekhi Mat. Nauk, 13:6(84) (1958), 79–80 |
2
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23. |
N. Ya. Vilenkin, “Some relations for Gegenbauer functions”, Uspekhi Mat. Nauk, 13:3(81) (1958), 167–172 |
24. |
N. Ya. Vilenkin, “Continuous analogue of the addition theorem for Jacobi polynomials”, Uspekhi Mat. Nauk, 13:2(80) (1958), 157–161 |
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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 |
1
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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 |
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27. |
N. Ya. Vilenkin, “On a generating function for Jacobi polynomials”, Uspekhi Mat. Nauk, 12:6(78) (1957), 137–142 |
28. |
N. Ya. Vilenkin, “On the theory of associated spherical functions on Lie groups”, Mat. Sb. (N.S.), 42(84):4 (1957), 485–496 |
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1956 |
29. |
N. Ya. Vilenkin, “Bessel functions and representations of the group of Euclidean motions”, Uspekhi Mat. Nauk, 11:3(69) (1956), 69–112 |
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30. |
N. Ya. Vilenkin, “On a class of locally compact zero-dimensional topological groups”, Mat. Sb. (N.S.), 40(82):4 (1956), 479–496 |
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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 |
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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 |
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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 |
34. |
N. Ya. Vilenkin, “Vector spaces over topological fields”, Mat. Sb. (N.S.), 32(74):1 (1953), 195–208 |
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1952 |
35. |
N. Ya. Vilenkin, “On the theory of orthogonal kernels”, Uspekhi Mat. Nauk, 7:3(49) (1952), 63–82 |
36. |
N. Ya. Vilenkin, “On the theory of Fourier integrals on topological groups”, Mat. Sb. (N.S.), 30(72):2 (1952), 233–244 |
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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 |
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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 |
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 |
40. |
N. Ya. Vilenkin, “Direct decompositions of topological groups. III”, Mat. Sb. (N.S.), 29(71):3 (1951), 519–528 |
41. |
N. Ya. Vilenkin, “Direct operations on topological groups”, Mat. Sb. (N.S.), 29(71):2 (1951), 371–402 |
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 |
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 |
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 |
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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 |
46. |
N. Ya. Vilenkin, “Investigations on the theory of topological Abelian groups”, Uspekhi Mat. Nauk, 5:2(36) (1950), 208–210 |
47. |
N. Ya. Vilenkin, “On the classification of separable and coseparable topological Abelian groups”, Mat. Sb. (N.S.), 27(69):1 (1950), 85–102 |
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1949 |
48. |
N. Ya. Vilenkin, “On the theory of lacunary orthogonal systems”, Izv. Akad. Nauk SSSR Ser. Mat., 13:3 (1949), 245–252 |
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49. |
N. Ya. Vilenkin, “Fibered Abelian topological groups and their character theory”, Mat. Sb. (N.S.), 24(66):2 (1949), 189–226 |
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1948 |
50. |
N. Ya. Vilenkin, “On the theory of weakly separable groups”, Mat. Sb. (N.S.), 22(64):1 (1948), 135–177 |
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1947 |
51. |
N. Vilenkin, “On a class of complete
orthonormal systems”, Izv. Akad. Nauk SSSR Ser. Mat., 11:4 (1947), 363–400 |
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1946 |
52. |
N. Vilenkin, “On direct decompositions of topological groups. II”, Rec. Math. [Mat. Sbornik] N.S., 19(61):2 (1946), 311–340 |
53. |
N. Vilenkin, “On direct decompositions of topological groups”, Rec. Math. [Mat. Sbornik] N.S., 19(61):1 (1946), 85–154 |
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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 |
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1958 |
55. |
N. Ya. Vilenkin, “Письмо в редакцию”, Dokl. Akad. Nauk SSSR, 120:4 (1958), 688 |
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1957 |
56. |
N. Ya. Vilenkin, “О равномерной непрерывности функции”, Mat. Pros., Ser. 2, 1 (1957), 167–168 |
57. |
N. Ya. Vilenkin, I. M. Yaglom, “On teaching mathematics in pedagogical institutes”, Uspekhi Mat. Nauk, 12:2(74) (1957), 199–209 |
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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 |
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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 |
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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 |
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