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Neretin Yurii Aleksandrovich

Publications in Math-Net.Ru

  1. On Algebras of Double Cosets of Symmetric Groups with Respect to Young Subgroups

    Mat. Zametki, 114:4 (2023),  591–601
  2. Inner functions of matrix argument and conjugacy classes in unitary groups

    Mat. Sb., 213:8 (2022),  26–43
  3. Polyhomomorphisms of locally compact groups

    Mat. Sb., 212:2 (2021),  53–80
  4. Fourier Transform on the Lobachevsky Plane and Operational Calculus

    Funktsional. Anal. i Prilozhen., 54:4 (2020),  64–73
  5. On the group of spheromorphisms of a homogeneous non-locally finite tree

    Izv. RAN. Ser. Mat., 84:6 (2020),  131–164
  6. Barnes–Ismagilov Integrals and Hypergeometric Functions of the Complex Field

    SIGMA, 16 (2020), 072, 20 pp.
  7. A remark on nilpotent Lie algebras that do no admit gradings

    Zap. Nauchn. Sem. POMI, 481 (2019),  108–124
  8. Operational Calculus for the Fourier Transform on the Group $\operatorname{GL}(2,\mathbb{R})$ and the Problem about the Action of an Overalgebra in the Plancherel Decomposition

    Funktsional. Anal. i Prilozhen., 52:3 (2018),  42–52
  9. Infinite symmetric group, pseudomanifolds, and combinatorial cobordism-like structures

    J. Topol. Anal., 10:3 (2018),  605–625
  10. On the group of infinite $p$-adic matrices with integer elements

    Zap. Nauchn. Sem. POMI, 468 (2018),  105–125
  11. Multiplication of conjugacy classes, colligations, and characteristic functions of matrix argument

    Funktsional. Anal. i Prilozhen., 51:2 (2017),  25–41
  12. Combinatorial encodings of infinite symmetric groups and descriptions of semigroups of double cosets

    Zap. Nauchn. Sem. POMI, 462 (2017),  65–92
  13. On the Sphericity of the Subgroup $\operatorname{PSL}_2(\mathbb{R})$ in the Group of Diffeomorphisms of the Circle

    Funktsional. Anal. i Prilozhen., 50:2 (2016),  91–94
  14. Radial parts of Haar measures and probability distributions on the space of rational matrix-valued functions

    Izv. RAN. Ser. Mat., 80:6 (2016),  127–140
  15. Wishart–Pickrell distributions and closures of group actions

    Zap. Nauchn. Sem. POMI, 448 (2016),  236–245
  16. Infinite-dimensional $p$-adic groups, semigroups of double cosets, and inner functions on Bruhat–Tits buildings

    Izv. RAN. Ser. Mat., 79:3 (2015),  87–130
  17. Infinite symmetric groups and combinatorial constructions of topological field theory type

    Uspekhi Mat. Nauk, 70:4(424) (2015),  143–204
  18. Several remarks on groups of automorphisms of free groups

    Zap. Nauchn. Sem. POMI, 436 (2015),  189–198
  19. Bi-invariant functions on the group of transformations leaving a measure quasi-invariant

    Mat. Sb., 205:9 (2014),  145–160
  20. On an infinite-dimensional limit of the Steinberg representations

    Zap. Nauchn. Sem. POMI, 421 (2014),  126–132
  21. Hua measures on the space of $p$-adic matrices and inverse limits of Grassmannians

    Izv. RAN. Ser. Mat., 77:5 (2013),  95–108
  22. On the boundary of the group of transformations leaving a measure quasi-invariant

    Mat. Sb., 204:8 (2013),  83–116
  23. On topologies on Malcev completions of braid groups

    Mosc. Math. J., 12:4 (2012),  803–824
  24. A remark on representations of infinite symmetric groups

    Zap. Nauchn. Sem. POMI, 403 (2012),  103–109
  25. Sphericity and multiplication of double cosets for infinite-dimensional classical groups

    Funktsional. Anal. i Prilozhen., 45:3 (2011),  79–96
  26. Spectral data for a pair of matrices of order three and an action of the group $\mathrm{GL}(2,\mathbb Z)$

    Izv. RAN. Ser. Mat., 75:5 (2011),  93–102
  27. On Spherical Functions on the Group $\operatorname{SU}\times\operatorname{SU}\times\operatorname{SU}$

    Funktsional. Anal. i Prilozhen., 44:1 (2010),  59–67
  28. On the beta function of the tube of the light cone

    Zap. Nauchn. Sem. POMI, 378 (2010),  73–80
  29. $K$-Finite Matrix Elements of Irreducible Harish-Chandra Modules are Hypergeometric

    Funktsional. Anal. i Prilozhen., 41:4 (2007),  60–69
  30. Perelomov Problem and Inversion of the Segal–Bargmann Transform

    Funktsional. Anal. i Prilozhen., 40:4 (2006),  104–107
  31. Central extensions of groups of symplectomorphisms

    Mosc. Math. J., 6:4 (2006),  703–729
  32. Perturbations of Jacobi polynomials and piecewise hypergeometric orthogonal systems

    Mat. Sb., 197:11 (2006),  51–78
  33. Notes on Stein–Sahi representations and some problems of non-$L^2$-harmonic analysis

    Zap. Nauchn. Sem. POMI, 331 (2006),  125–169
  34. Some Continuous Analogs of the Expansion in Jacobi Polynomials and Vector-Valued Orthogonal Bases

    Funktsional. Anal. i Prilozhen., 39:2 (2005),  31–46
  35. On compression of Bruhat–Tits buildings

    Zap. Nauchn. Sem. POMI, 325 (2005),  163–170
  36. Beta functions of Bruhat–Tits buildings and deformation of $l^2$ on the set of $p$-adic lattices

    Mat. Sb., 194:12 (2003),  31–62
  37. Rayleigh triangles and non-matrix interpolation of matrix beta integrals

    Mat. Sb., 194:4 (2003),  49–74
  38. The action of an overalgebra on the Plancherel decomposition and shift operators in the imaginary direction

    Izv. RAN. Ser. Mat., 66:5 (2002),  171–182
  39. Beta-integrals and finite orthogonal systems of Wilson polynomials

    Mat. Sb., 193:7 (2002),  131–148
  40. Spreading maps (polymorphisms), symmetries of Poisson processes, and matching summation

    Zap. Nauchn. Sem. POMI, 292 (2002),  62–91
  41. Matrix balls, radial analysis of Berezin kernels, and hypergeometric determinants

    Mosc. Math. J., 1:2 (2001),  157–220
  42. Index hypergeometric transform and imitation of analysis of Berezin kernels on hyperbolic spaces

    Mat. Sb., 192:3 (2001),  83–114
  43. On the Separation of Spectra in the Analysis of Berezin Kernels

    Funktsional. Anal. i Prilozhen., 34:3 (2000),  49–62
  44. Matrix analogues of the beta function and Plancherel's formula for Berezin kernel representations

    Mat. Sb., 191:5 (2000),  67–100
  45. Conformal geometry of symmetric spaces and generalized linear-fractional maps of Krein–Shmul'yan

    Mat. Sb., 190:2 (1999),  93–122
  46. Pseudo-Riemannian symmetric spaces: uniform realizations, and open embeddings into Grassmanians

    Zap. Nauchn. Sem. POMI, 256 (1999),  145–167
  47. Supercomplete Bases in the Space of Symmetric Functions

    Funktsional. Anal. i Prilozhen., 32:1 (1998),  12–28
  48. The restrictions of functions holomorphic in a domain to curves lying on its boundary, and discrete $\operatorname{SL}_2(\mathbb R)$-spectra

    Izv. RAN. Ser. Mat., 62:3 (1998),  67–86
  49. Hausdorff Metric, the Construction of a Hausdorff Quotient Space, and Boundaries of Symmetric Spaces

    Funktsional. Anal. i Prilozhen., 31:1 (1997),  83–86
  50. On the correspondence between boson Fock space and the $L^2$ space with respect to Poisson measure

    Mat. Sb., 188:11 (1997),  19–50
  51. Fractional diffusions and quasi-invariant actions of infinite-dimensional groups

    Trudy Mat. Inst. Steklova, 217 (1997),  135–181
  52. The group of diffeomorphisms of the half-line, and random Cantor sets

    Mat. Sb., 187:6 (1996),  73–84
  53. Boundary values of holomorphic functions, singular unitary representations of $O(p,q)$, and their limits as $q\to\infty$

    Zap. Nauchn. Sem. POMI, 223 (1995),  9–91
  54. Universal completions of complex classical groups

    Funktsional. Anal. i Prilozhen., 26:4 (1992),  30–44
  55. On combinatorial analogs of the group of diffeomorphisms of the circle

    Izv. RAN. Ser. Mat., 56:5 (1992),  1072–1085
  56. Categories of bistochastic measures, and representations of some infinite-dimensional groups

    Mat. Sb., 183:2 (1992),  52–76
  57. Extension of representations of classical groups to representations of categories

    Algebra i Analiz, 3:1 (1991),  176–202
  58. On operators that connect the holomorphic representations of different groups

    Dokl. Akad. Nauk SSSR, 312:6 (1990),  1318–1321
  59. A semigroup of operators in the boson fock space

    Funktsional. Anal. i Prilozhen., 24:2 (1990),  63–73
  60. A spinor representation of an infinite-dimensional orthogonal semigroup and the virasoro algebra

    Funktsional. Anal. i Prilozhen., 23:3 (1989),  32–44
  61. Holomorphic extensions of representations of the group of the diffeomorphisms of the circle

    Mat. Sb., 180:5 (1989),  635–657
  62. Representations of Virasoro algebra and affine algebras

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 22 (1988),  163–224
  63. Almost invariant structures and constructions of unitary representations of the group of diffeomorphisms of the circle

    Dokl. Akad. Nauk SSSR, 294:1 (1987),  37–41
  64. A complex semigroup that contains the group of diffeomorphisms of the circle

    Funktsional. Anal. i Prilozhen., 21:2 (1987),  82–83
  65. An estimate of the number of parameters defining an $n$-dimensional algebra

    Izv. Akad. Nauk SSSR Ser. Mat., 51:2 (1987),  306–318
  66. On the spinor representation of $O(\infty,\mathbf C)$

    Dokl. Akad. Nauk SSSR, 289:2 (1986),  282–285
  67. Representations of complementary series entering discretely in tensor products of unitary representations

    Funktsional. Anal. i Prilozhen., 20:1 (1986),  79–80
  68. Unitary representations of the diffeomorphism group of the $p$-adic projective line

    Funktsional. Anal. i Prilozhen., 18:4 (1984),  92–93
  69. Boson representation of the circle diffeomorphism group

    Dokl. Akad. Nauk SSSR, 272:3 (1983),  528–531
  70. Unitary representations with highest weight of the group of diffeomorphisms of a circle

    Funktsional. Anal. i Prilozhen., 17:3 (1983),  85–86
  71. The complementary series of representations of the group of diffeomorphisms of the circle

    Uspekhi Mat. Nauk, 37:2(224) (1982),  213–214
  72. Differential operators on Lie groups

    Uspekhi Mat. Nauk, 36:2(218) (1981),  195–196

  73. About the Konstantinov system and the White Sea construction brigades

    Math. Ed., 2021, no. 3(99),  3–13
  74. To the 80th anniversary of Rais Salmanovich Ismagilov

    Chebyshevskii Sb., 20:1 (2019),  425–430
  75. Grigori Iosifovich Olshanski (on his 70th birthday)

    Uspekhi Mat. Nauk, 74:3(447) (2019),  193–213
  76. Unified State Exam and agony of school mathematics

    Math. Ed., 2016, no. 4(80),  2–14
  77. Vladimir Fedorovich Molchanov (on his 75th birthday)

    Uspekhi Mat. Nauk, 69:3(417) (2014),  186–190
  78. Rais Sal'manovich Ismagilov (on his 75th birthday)

    Uspekhi Mat. Nauk, 68:4(412) (2013),  185–190
  79. Sabir Medgidovich Gusein-Zade

    Mosc. Math. J., 10:4 (2010),  831–832
  80. Entrance Examination Patience: Russia and the West

    Math. Ed., 2009, no. 2(50),  3–13
  81. Mathematical works of D. P. Zhelobenko

    Uspekhi Mat. Nauk, 64:1(385) (2009),  178–188
  82. Mark Iosifovich Graev (to his 85th brithday)

    Uspekhi Mat. Nauk, 63:1(379) (2008),  169–182
  83. Education and "Snowball" Technology

    Math. Ed., 2007, no. 1(41),  45–48
  84. Improbable Coincidences and the Morozov–Fomenko Problem on Historical Foldings

    Math. Ed., 2002, no. 2(21),  66–95

© Steklov Math. Inst. of RAS, 2024