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Ismagilov Rais Sal'manovich

Publications in Math-Net.Ru

  1. Spectral Trace Formula for Local Fields

    Mat. Zametki, 98:6 (2015),  872–877
  2. Functions associated with group representations

    Mat. Sb., 206:12 (2015),  70–78
  3. Racah operators for unitary representations of groups

    Mosc. Math. J., 14:3 (2014),  565–576
  4. On spectral perturbation caused by bounded variation of potential

    Mat. Sb., 205:1 (2014),  3–8
  5. Asymptotic form of the spectrum of operators associated with $p$-adic fields

    TMF, 180:1 (2014),  3–9
  6. A Formula for the Spectra of Differential Operators on Graphs

    Funktsional. Anal. i Prilozhen., 46:2 (2012),  17–23
  7. Differential Operators Symmetric with Respect to an Indefinite Metric

    Mat. Zametki, 89:6 (2011),  846–855
  8. Asymptotics of the $n$-Widths of a Wiener Spiral in Complex Hilbert Space

    Mat. Zametki, 89:5 (2011),  686–693
  9. Spectral Asymptotics for the Sturm–Liouville Operator with Point Interaction

    Funktsional. Anal. i Prilozhen., 44:4 (2010),  14–20
  10. Perturbation of the Spectrum of a Differential Operator under a Bounded Perturbation of the Potential

    Funktsional. Anal. i Prilozhen., 43:3 (2009),  54–64
  11. Family of Quaternion Norms with Isometry Group $\mathbb Z_2$ in General Position

    Mat. Zametki, 86:2 (2009),  310–313
  12. Quaternion Normed Space with Isometry Group $\mathbb{Z}_2$

    Funktsional. Anal. i Prilozhen., 42:3 (2008),  90–92
  13. On the Asymptotics of the Spectrum of a Nonsemibounded Vector Sturm–Liouville Operator

    Funktsional. Anal. i Prilozhen., 42:2 (2008),  11–22
  14. Racah Operators for the Group of Motions

    Funktsional. Anal. i Prilozhen., 42:1 (2008),  85–88
  15. Pauli problem and related mathematical problems

    TMF, 157:1 (2008),  3–7
  16. On the Spectrum of a Vector Schrödinger Operator

    Funktsional. Anal. i Prilozhen., 41:1 (2007),  39–51
  17. Racah operators for principal series of representations of the group $\mathrm {SL}(2,\mathbb C)$

    Mat. Sb., 198:3 (2007),  77–90
  18. On Racah Operators

    Funktsional. Anal. i Prilozhen., 40:3 (2006),  69–72
  19. A 2-cocycle on a symplectomorphism group

    Mosc. Math. J., 6:2 (2006),  307–315
  20. On Quasihomogeneous Strings

    Mat. Zametki, 78:2 (2005),  317–320
  21. Representations of groups in solution spaces of invariant differential equations

    TMF, 142:3 (2005),  489–499
  22. A normalized family of representations of the group of motions of a Euclidean space and the inverse problem of the representation theory of this group

    Mat. Sb., 195:12 (2004),  47–56
  23. Inductive Limits of Area-Preserving Diffeomorphism Groups

    Funktsional. Anal. i Prilozhen., 37:3 (2003),  36–50
  24. The Integral Heisenberg Group as an Infinite Amalgam of Commutative Groups

    Mat. Zametki, 74:5 (2003),  669–675
  25. Riesz Products, Random Walks, and the Spectrum

    Funktsional. Anal. i Prilozhen., 36:1 (2002),  16–29
  26. Dixmier Traces and Unitary Representations

    Funktsional. Anal. i Prilozhen., 35:1 (2001),  40–52
  27. Spectral Analysis of Certain Self-Adjoint Differential Operators in a Space with Indefinite Metric

    Mat. Zametki, 70:4 (2001),  568–580
  28. Weak CCRs and CARs and Inductive Limits of Families of Groups and Algebras

    Funktsional. Anal. i Prilozhen., 34:2 (2000),  75–78
  29. Examples of explicit calculation of the inductive limit of a family of Lie algebras

    Mat. Sb., 191:3 (2000),  53–64
  30. Weak anticommutation relations and amalgams of Grassmann algebras

    TMF, 125:3 (2000),  425–431
  31. Minimal Widths of Metric Spaces

    Funktsional. Anal. i Prilozhen., 33:4 (1999),  38–49
  32. On the Property of Local Commutativity

    Funktsional. Anal. i Prilozhen., 32:4 (1998),  82–85
  33. Ultrametric spaces and related Hilbert spaces

    Mat. Zametki, 62:2 (1997),  223–237
  34. On the Pauli Problem

    Funktsional. Anal. i Prilozhen., 30:2 (1996),  82–84
  35. On extensions of current groups and their representations

    Algebra i Analiz, 6:1 (1994),  159–171
  36. On the Irreducibility of Representations of Measurable Current Groups

    Funktsional. Anal. i Prilozhen., 28:2 (1994),  21–30
  37. Groups and homogeneous domains connected with factors of type II, and representations of the group of diffeomorphisms of a torus that preserve the irrational windings

    Algebra i Analiz, 5:1 (1993),  215–231
  38. Homogeneous domains connected with factors of type II$_\infty$ and representations of infinite-dimensional groups

    Funktsional. Anal. i Prilozhen., 26:2 (1992),  72–74
  39. Three problems on the group of symplectomorphisms

    Funktsional. Anal. i Prilozhen., 26:1 (1992),  66–68
  40. Spherical functions on the group of diffeomorphisms preserving the volume

    Funktsional. Anal. i Prilozhen., 25:2 (1991),  80–82
  41. Operators and generalized functions, decomposable with respect to systems of coordinates

    Mat. Zametki, 50:3 (1991),  44–53
  42. Spectrum of a self-adjoint operator in $L_2(K)$, where $K$ is a local field; analog of the Feynman–Kac formula

    TMF, 89:1 (1991),  18–24
  43. Finite-dimensional representations of the Lie algebra $sl_2\rightthreetimes\mathbb{R}^2$

    Funktsional. Anal. i Prilozhen., 24:4 (1990),  78–79
  44. The spectrum of dynamical systems and the Riesz products

    Mat. Sb., 180:7 (1989),  888–912
  45. Application of the group algebra of the problem of the tail $\sigma$-algebra of a random walk on a group and the problem of ergodicity of a skew-product action

    Izv. Akad. Nauk SSSR Ser. Mat., 51:4 (1987),  893–907
  46. Riesz products and spectrum of Mackey actions

    Funktsional. Anal. i Prilozhen., 20:3 (1986),  86–87
  47. Connection of a group algebra with the tail $\sigma$-algebra of a random walk on a group

    Funktsional. Anal. i Prilozhen., 19:1 (1985),  75–76
  48. Spectrum of the Sturm–Liouville equation with an oscillating potential

    Mat. Zametki, 37:6 (1985),  869–879
  49. Problem of extending representations

    Mat. Zametki, 35:1 (1984),  99–106
  50. Continuous spectrum of second-order ordinary differential operators

    Mat. Zametki, 34:4 (1983),  535–547
  51. Representations of the group of smooth mappings of a segment into a compact Lie group

    Funktsional. Anal. i Prilozhen., 15:2 (1981),  73–74
  52. On the group of volume-preserving diffeomorphisms

    Izv. Akad. Nauk SSSR Ser. Mat., 44:4 (1980),  831–867
  53. Imbedding of a group of measure-preserving diffeomorphisms into a semidirect product and its unitary representations

    Mat. Sb. (N.S.), 113(155):1(9) (1980),  81–97
  54. A central extension of the group of volume-preserving diffeomorphisms, as inductive limit of groups of diffeomorphisms of coordinate neighborhoods

    Funktsional. Anal. i Prilozhen., 13:4 (1979),  71–72
  55. Unitary representations of groups of measure-preserving diffeomorphisms

    Funktsional. Anal. i Prilozhen., 12:3 (1978),  80–81
  56. Unitary representations of groups of measure-preserving diffeomorphisms

    Funktsional. Anal. i Prilozhen., 11:3 (1977),  80–81
  57. Diameters of a class of smooth functions in the space $L_2$

    Mat. Zametki, 22:5 (1977),  671–678
  58. On unitary representations of the group $C_0^\infty(X, G)$, $G=SU_2$

    Mat. Sb. (N.S.), 100(142):1(5) (1976),  117–131
  59. Unitary representations of group of diffeomorphisms of space $\mathbb{R}^n$, $n\ge2$

    Funktsional. Anal. i Prilozhen., 9:2 (1975),  71–72
  60. On unitary representations of the group of diffeomorphisms of the space $R^n$, $n\geqslant2$

    Mat. Sb. (N.S.), 98(140):1(9) (1975),  55–71
  61. Diameters of sets in normed linear spaces and the approximation of functions by trigonometric polynomials

    Uspekhi Mat. Nauk, 29:3(177) (1974),  161–178
  62. The represen tations $SL(2,P)$ where $P$ is not locally compact

    Funktsional. Anal. i Prilozhen., 7:4 (1973),  85–86
  63. On infinitesimal algebra for random sequences

    Teor. Veroyatnost. i Primenen., 18:1 (1973),  186–193
  64. On unitary representations of the group of diffeomorphisms of a compact manifold

    Funktsional. Anal. i Prilozhen., 6:1 (1972),  79–80
  65. On unitary representations of the group of diffeomorphisms of a compact manifold

    Izv. Akad. Nauk SSSR Ser. Mat., 36:1 (1972),  180–208
  66. Unitary representations of the group of diffeomorphisms of a circle

    Funktsional. Anal. i Prilozhen., 5:3 (1971),  45–53
  67. Asymptotic properties of the spectrum of a differential operator in a space of vector-valued functions

    Mat. Zametki, 9:6 (1971),  667–676
  68. Spherical functions over a normed field whose residue field is infinite

    Funktsional. Anal. i Prilozhen., 4:1 (1970),  42–51
  69. On irreducible cycles, related to a dynamic system

    Funktsional. Anal. i Prilozhen., 3:3 (1969),  92–93
  70. Linear representations of groups of matrices with elements from a normed field

    Izv. Akad. Nauk SSSR Ser. Mat., 33:6 (1969),  1296–1323
  71. Representations of groups and algebras in spaces with indefinite metric

    Itogi Nauki. Ser. Matematika. Mat. Anal. 1968, 1969,  73–105
  72. On linear representations of a matrix group with elements from a field of formal power series over an infinite field

    Funktsional. Anal. i Prilozhen., 2:3 (1968),  89–90
  73. On $n$-dimensional diameters of compacts in a Hilbert space

    Funktsional. Anal. i Prilozhen., 2:2 (1968),  32–39
  74. One class of linear representations of complex, semisimple Lie groups

    Funktsional. Anal. i Prilozhen., 1:4 (1967),  69–74
  75. Elementary spherical functions on the group $SL(2,P)$ over a field $P$, which is not locally compact, with respect to the subgroup of matrices with integral elements

    Izv. Akad. Nauk SSSR Ser. Mat., 31:2 (1967),  361–390
  76. Linear representations of the group $SL(2,R)$

    Mat. Sb. (N.S.), 74(116):4 (1967),  496–515
  77. Rings of operators in a space with an indefinite metric

    Dokl. Akad. Nauk SSSR, 171:2 (1966),  269–271
  78. A criterion for the discreteness of the spectrum of a selfadjoint system of differential equations of the first order with slowly varying coefficients

    Dokl. Akad. Nauk SSSR, 167:6 (1966),  1223–1225
  79. Irreducible representations of a discrete group $SL(2,P)$ which is unitary with respect to an indefinite metric

    Izv. Akad. Nauk SSSR Ser. Mat., 30:4 (1966),  923–950
  80. Unitary representations of the Lorentz group in a space with indefinite metric

    Izv. Akad. Nauk SSSR Ser. Mat., 30:3 (1966),  497–522
  81. Description of the unitary representations of the Lorentz group in a space with indefinite metric

    Dokl. Akad. Nauk SSSR, 158:2 (1964),  268–270
  82. On the spectrum of Toeplitz matrices

    Dokl. Akad. Nauk SSSR, 149:4 (1963),  769–772
  83. On the self-adjointness of the Sturm–Liouville operator

    Uspekhi Mat. Nauk, 18:5(113) (1963),  161–166
  84. Self-adjointness conditions of higher-order differential operators

    Dokl. Akad. Nauk SSSR, 142:6 (1962),  1239–1242
  85. Self-adjoint extensions of commutative symmetric operators

    Uspekhi Mat. Nauk, 17:1(103) (1962),  177–181
  86. Conditions for the semiboundedness and discreteness of the spectrum in the case of one-dimensional differential operators

    Dokl. Akad. Nauk SSSR, 140:1 (1961),  33–36
  87. Functions of Hermitian operators

    Uspekhi Mat. Nauk, 16:5(101) (1961),  167–168
  88. Self-adjoint extensions of a system of commuting symmetric operators

    Dokl. Akad. Nauk SSSR, 133:3 (1960),  511–514

  89. Grigori Iosifovich Olshanski (on his 70th birthday)

    Uspekhi Mat. Nauk, 74:3(447) (2019),  193–213
  90. Vladimir Fedorovich Molchanov (on his 75th birthday)

    Uspekhi Mat. Nauk, 69:3(417) (2014),  186–190
  91. Anatolii Gordeevich Kostyuchenko (obituary)

    Uspekhi Mat. Nauk, 65:4(394) (2010),  179–190
  92. Valentin Yakovlevich Golodets (on his 70th birthday)

    Uspekhi Mat. Nauk, 62:6(378) (2007),  191–192
  93. Corrections to the article “Applications of the group algebra to the problems on the tail algebra of the random walk and on the ergodicity of the srew action”

    Izv. Akad. Nauk SSSR Ser. Mat., 52:5 (1988),  1116
  94. Mark Aronovich Naimark (obituary)

    Uspekhi Mat. Nauk, 35:4(214) (1980),  135–140
  95. Correction to the article “A class of linear representations of complex semisimple lie groups”

    Funktsional. Anal. i Prilozhen., 2:3 (1968),  90
  96. Письмо в редакцию

    Dokl. Akad. Nauk SSSR, 139:3 (1961),  520

© Steklov Math. Inst. of RAS, 2025