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Shtern Alexander Isaakovich

Publications in Math-Net.Ru

  1. 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
  2. Condition for the weak continuity of representations of topological groups in Fréchet spaces

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

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

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

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

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

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

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

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

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

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

    Trudy Mat. Inst. Steklova, 271 (2010),  224–240
  13. 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
  14. Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko's conjecture

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

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

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

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

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

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

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

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

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

    Funktsional. Anal. i Prilozhen., 37:2 (2003),  92–94
  24. 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
  25. Criteria for weak and strong continuity of representations of topological groups in Banach spaces

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

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

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

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

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

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

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

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

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

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

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

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

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, no. 2,  74–75
  38. 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
  39. Second dual of a von Neumann algebra

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

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 3,  29–32
  41. 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
  42. Locally bicompact groups with finite-dimensional irreducible representations

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

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

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

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

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

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

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

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

  50. 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
  51. 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, 2024