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Shtern Alexander Isaakovich

Publications in Math-Net.Ru

  1. A criterion for the weak continuity of representations of topological groups in dual Fréchet spaces

    Izv. RAN. Ser. Mat., 89:3 (2025),  230–240
  2. A criterion for the strong continuity of representations of topological groups in reflexive Fréchet spaces

    Mat. Sb., 216:1 (2025),  144–152
  3. Criterion for the extendability of a unitary character on a normal subgroup of a product group to a pure one-dimensional pseudorepresentation of the group

    Fundam. Prikl. Mat., 25:1 (2024),  251–254
  4. Condition for the weak continuity of representations of topological groups in Fréchet spaces

    Uspekhi Mat. Nauk, 79:4(478) (2024),  179–180
  5. Automatic continuity of a locally bounded homomorphism of Lie groups on the commutator subgroup

    Mat. Sb., 215:6 (2024),  151–158
  6. Continuity criteria for locally bounded homomorphisms of certain Lie groups

    Fundam. Prikl. Mat., 24:4 (2023),  213–216
  7. Locally bounded finally precontinuous finite-dimensional quasirepresentations of connected locally compact groups

    Mat. Sb., 208:10 (2017),  149–170
  8. Derivations of group algebras

    Fundam. Prikl. Mat., 21:6 (2016),  65–78
  9. Specific properties of one-dimensional pseudorepresentations of groups

    Fundam. Prikl. Mat., 21:1 (2016),  247–255
  10. A difference property for functions with bounded second differences on amenable topological groups

    Fundam. Prikl. Mat., 19:2 (2014),  227–235
  11. The structure of locally bounded finite-dimensional representations of connected locally compact groups

    Mat. Sb., 205:4 (2014),  149–160
  12. The structure of homomorphisms of connected locally compact groups into compact groups

    Izv. RAN. Ser. Mat., 75:6 (2011),  195–222
  13. Connected locally compact groups: The Hochschild kernel and faithfulness of locally bounded finite-dimensional representations

    Tr. Mosk. Mat. Obs., 72:1 (2011),  105–126
  14. Duality between compactness and discreteness beyond Pontryagin duality

    Trudy Mat. Inst. Steklova, 271 (2010),  224–240
  15. A version of van der Waerden's theorem and a proof of Mishchenko's conjecture on homomorphisms of locally compact groups

    Izv. RAN. Ser. Mat., 72:1 (2008),  183–224
  16. Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko's conjecture

    Fundam. Prikl. Mat., 13:7 (2007),  85–225
  17. Kazhdan–Milman problem for semisimple compact Lie groups

    Uspekhi Mat. Nauk, 62:1(373) (2007),  123–190
  18. Automatic continuity of pseudocharacters on semisimple Lie groups

    Mat. Zametki, 80:3 (2006),  456–464
  19. Weak and strong continuity of representations of topologically pseudocomplete groups in locally convex spaces

    Mat. Sb., 197:3 (2006),  155–176
  20. Projective Representations and Pure Pseudorepresentations of Hermitian Symmetric Simple Lie Groups

    Mat. Zametki, 78:1 (2005),  140–146
  21. Almost periodic functions and representations in locally convex spaces

    Uspekhi Mat. Nauk, 60:3(363) (2005),  97–168
  22. Topological groups with finite von Neumann algebras of type I

    Mat. Sb., 196:3 (2005),  143–160
  23. Continuity Criterion for Finite-Dimensional Representations of Locally Compact Groups

    Mat. Zametki, 75:6 (2004),  951–953
  24. Criteria for the continuity of finite-dimensional representations of connected locally compact groups

    Mat. Sb., 195:9 (2004),  145–159
  25. Preduals of von Neumann Algebras

    Funktsional. Anal. i Prilozhen., 37:2 (2003),  92–94
  26. Deformation of Irreducible Unitary Representations of Discrete Series of Hermitian Symmetric Simple Lie Groups in the Class of Pure Pseudorepresentations

    Mat. Zametki, 73:3 (2003),  478–480
  27. Criteria for weak and strong continuity of representations of topological groups in Banach spaces

    Mat. Sb., 193:9 (2002),  139–156
  28. Structure Properties and Real Continuous Bounded 2-Cohomology of Locally Compact Groups

    Funktsional. Anal. i Prilozhen., 35:4 (2001),  67–80
  29. Rigidity and approximation of quasirepresentations of amenable groups

    Mat. Zametki, 65:6 (1999),  908–920
  30. Semicontinuous Envelopes, Riemann Integral, and Uniform Distribution in $C^*$-Algebras

    Funktsional. Anal. i Prilozhen., 29:4 (1995),  57–67
  31. Uniform distribution, invariant means, and Riemann integrals

    Mat. Zametki, 56:3 (1994),  144–154
  32. A characterization of amenability in the class of connected locally compact groups

    Uspekhi Mat. Nauk, 49:2(296) (1994),  183–184
  33. Continuous Pseudocharacters on Connected Locally Compact Groups are Characters

    Funktsional. Anal. i Prilozhen., 27:4 (1993),  87–90
  34. Quasirepresentations and pseudorepresentations

    Funktsional. Anal. i Prilozhen., 25:2 (1991),  70–73
  35. On operators in Fréchet spaces that are similar to isometries

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1991, no. 4,  67–70
  36. The pseudocharacter determined by the Rademacher symbol

    Uspekhi Mat. Nauk, 45:3(273) (1990),  197–198
  37. Duality for crossed products of von Neumann algebras

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 27 (1985),  33–65
  38. Nuclear $C^*$-algebras and related questions

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 26 (1985),  107–125
  39. Rectangular finite element smoothly adjusted with Bell’s triangle

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, no. 2,  74–75
  40. On S. M. Nikol'skii's theorem and P. P. Mosolov's conjecture

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1984, no. 6,  43–46
  41. Second dual of a von Neumann algebra

    Funktsional. Anal. i Prilozhen., 16:2 (1982),  90
  42. On stability of homomorphisms in the group $\mathbf{R}^*$

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 3,  29–32
  43. Restrictions and tensor products of certain irreducible unitary representations of a pseudo-unitary group of $(3\times 3)$-matrices

    Uspekhi Mat. Nauk, 36:5(221) (1981),  207–208
  44. Locally bicompact groups with finite-dimensional irreducible representations

    Mat. Sb. (N.S.), 90(132):1 (1973),  86–95
  45. Separable locally compact groups with discrete support for the regular representation

    Dokl. Akad. Nauk SSSR, 198:6 (1971),  1287–1290
  46. Connection between the topologies of a locally bicompact group and its dual space

    Funktsional. Anal. i Prilozhen., 5:4 (1971),  56–63
  47. Groups with bicompact dual space

    Uspekhi Mat. Nauk, 26:3(159) (1971),  217–218
  48. Completely irreducible class I representations of real semisimple Lie groups

    Dokl. Akad. Nauk SSSR, 188:5 (1969),  1017–1019
  49. Completely irreducible representations of $SU(2,1)$

    Dokl. Akad. Nauk SSSR, 179:6 (1968),  1289–1292
  50. Completely irreducible representation of $SU (2,1)$ and their traces

    Funktsional. Anal. i Prilozhen., 2:4 (1968),  94–95
  51. Completely irreducible representations of the real unimodular group of second order

    Dokl. Akad. Nauk SSSR, 154:4 (1964),  798–801

  52. Letter to the editors

    Mat. Sb., 216:4 (2025),  135–136
  53. Lion G., Vergue Ě. The Weil representation, Maslov index and theta series. Boston etc.: Birkhäuser, 1980, 337 p. (Book review)

    Zh. Vychisl. Mat. Mat. Fiz., 22:2 (1982),  489
  54. Spectral synthesis: J. J. Benedetto, 278 p., B. G. Teubner, Stuttgart, 1975. Book review

    Zh. Vychisl. Mat. Mat. Fiz., 17:4 (1977),  1088–1089

© Steklov Math. Inst. of RAS, 2026