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Shtern, Alexander Isaakovich

Statistics Math-Net.Ru
Total publications: 44
Scientific articles: 42
Presentations: 5

Number of views:
This page:3469
Abstract pages:9746
Full texts:3166
References:1181
Associate professor
Candidate of physico-mathematical sciences (1968)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
   
Main publications:
  • Predstavleniya grupp Li. M., Nauka, 1983 (sovm. s Zhelobenko D. P.).

http://www.mathnet.ru/eng/person12175
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:shtern.alexander-i
https://mathscinet.ams.org/mathscinet/MRAuthorID/220429

Publications in Math-Net.Ru
2017
1. A. I. Shtern, “Locally bounded finally precontinuous finite-dimensional quasirepresentations of connected locally compact groups”, Mat. Sb., 208:10 (2017),  149–170  mathnet  mathscinet  elib; Sb. Math., 208:10 (2017), 1557–1576  isi  scopus
2016
2. A. A. Arutyunov, A. S. Mishchenko, A. I. Shtern, “Derivations of group algebras”, Fundam. Prikl. Mat., 21:6 (2016),  65–78  mathnet
3. A. I. Shtern, “Specific properties of one-dimensional pseudorepresentations of groups”, Fundam. Prikl. Mat., 21:1 (2016),  247–255  mathnet; J. Math. Sci., 233:5 (2018), 770–776  scopus
2014
4. A. I. Shtern, “A difference property for functions with bounded second differences on amenable topological groups”, Fundam. Prikl. Mat., 19:2 (2014),  227–235  mathnet  mathscinet; J. Math. Sci., 213:2 (2016), 281–286  scopus
5. A. I. Shtern, “The structure of locally bounded finite-dimensional representations of connected locally compact groups”, Mat. Sb., 205:4 (2014),  149–160  mathnet  mathscinet  zmath  elib; Sb. Math., 205:4 (2014), 600–611  isi  scopus
2011
6. A. I. Shtern, “The structure of homomorphisms of connected locally compact groups into compact groups”, Izv. RAN. Ser. Mat., 75:6 (2011),  195–222  mathnet  mathscinet  zmath  elib; Izv. Math., 75:6 (2011), 1279–1304  isi  elib  scopus
7. A. I. Shtern, “Connected locally compact groups: The Hochschild kernel and faithfulness of locally bounded finite-dimensional representations”, Tr. Mosk. Mat. Obs., 72:1 (2011),  105–126  mathnet  zmath  elib; Trans. Moscow Math. Soc., 72 (2011), 79–95  scopus
2010
8. A. I. Shtern, “Duality between compactness and discreteness beyond Pontryagin duality”, Tr. Mat. Inst. Steklova, 271 (2010),  224–240  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 271 (2010), 212–227  isi  scopus
2008
9. A. I. Shtern, “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  mathnet  mathscinet  zmath  elib; Izv. Math., 72:1 (2008), 169–205  isi  elib  scopus
2007
10. A. I. Shtern, “Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko's conjecture”, Fundam. Prikl. Mat., 13:7 (2007),  85–225  mathnet  mathscinet  zmath  elib; J. Math. Sci., 159:5 (2009), 653–751  elib  scopus
11. A. I. Shtern, “Kazhdan–Milman problem for semisimple compact Lie groups”, Uspekhi Mat. Nauk, 62:1(373) (2007),  123–190  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 62:1 (2007), 113–174  isi  elib  scopus
2006
12. A. I. Shtern, “Automatic continuity of pseudocharacters on semisimple Lie groups”, Mat. Zametki, 80:3 (2006),  456–464  mathnet  mathscinet  zmath  elib; Math. Notes, 80:3 (2006), 435–441  isi  elib  scopus
13. A. I. Shtern, “Weak and strong continuity of representations of topologically pseudocomplete groups in locally convex spaces”, Mat. Sb., 197:3 (2006),  155–176  mathnet  mathscinet  zmath  elib; Sb. Math., 197:3 (2006), 453–473  isi  elib  scopus
2005
14. A. I. Shtern, “Projective Representations and Pure Pseudorepresentations of Hermitian Symmetric Simple Lie Groups”, Mat. Zametki, 78:1 (2005),  140–146  mathnet  mathscinet  zmath  elib; Math. Notes, 78:1 (2005), 128–133  isi  elib  scopus
15. A. I. Shtern, “Almost periodic functions and representations in locally convex spaces”, Uspekhi Mat. Nauk, 60:3(363) (2005),  97–168  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 60:3 (2005), 489–557  isi  elib  scopus
16. A. I. Shtern, “Topological groups with finite von Neumann algebras of type I”, Mat. Sb., 196:3 (2005),  143–160  mathnet  mathscinet  zmath  elib; Sb. Math., 196:3 (2005), 447–463  isi  elib  scopus
2004
17. A. I. Shtern, “Continuity Criterion for Finite-Dimensional Representations of Locally Compact Groups”, Mat. Zametki, 75:6 (2004),  951–953  mathnet  mathscinet  zmath  elib; Math. Notes, 75:6 (2004), 890–892  isi
18. A. I. Shtern, “Criteria for the continuity of finite-dimensional representations of connected locally compact groups”, Mat. Sb., 195:9 (2004),  145–159  mathnet  mathscinet  zmath  elib; Sb. Math., 195:9 (2004), 1377–1391  isi  scopus
2003
19. A. I. Shtern, “Preduals of von Neumann Algebras”, Funktsional. Anal. i Prilozhen., 37:2 (2003),  92–94  mathnet  mathscinet  zmath; Funct. Anal. Appl., 37:2 (2003), 157–159  isi  scopus
20. A. I. Shtern, “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  mathnet  mathscinet  zmath; Math. Notes, 73:3 (2003), 452–457  isi  scopus
2002
21. A. I. Shtern, “Criteria for weak and strong continuity of representations of topological groups in Banach spaces”, Mat. Sb., 193:9 (2002),  139–156  mathnet  mathscinet  zmath  elib; Sb. Math., 193:9 (2002), 1381–1396  isi  scopus
2001
22. A. I. Shtern, “Structure Properties and Real Continuous Bounded 2-Cohomology of Locally Compact Groups”, Funktsional. Anal. i Prilozhen., 35:4 (2001),  67–80  mathnet  mathscinet  zmath; Funct. Anal. Appl., 35:4 (2001), 294–304  isi  scopus
1999
23. A. I. Shtern, “Rigidity and approximation of quasirepresentations of amenable groups”, Mat. Zametki, 65:6 (1999),  908–920  mathnet  mathscinet  zmath; Math. Notes, 65:6 (1999), 760–769  isi
1995
24. A. I. Shtern, “Semicontinuous Envelopes, Riemann Integral, and Uniform Distribution in $C^*$-Algebras”, Funktsional. Anal. i Prilozhen., 29:4 (1995),  57–67  mathnet  mathscinet  zmath; Funct. Anal. Appl., 29:4 (1995), 268–275  isi
1994
25. A. I. Shtern, “Uniform distribution, invariant means, and Riemann integrals”, Mat. Zametki, 56:3 (1994),  144–154  mathnet  mathscinet  zmath; Math. Notes, 56:3 (1994), 978–983  isi
26. A. I. Shtern, “A characterization of amenability in the class of connected locally compact groups”, Uspekhi Mat. Nauk, 49:2(296) (1994),  183–184  mathnet  mathscinet  zmath; Russian Math. Surveys, 49:2 (1994), 174–175  isi
1993
27. A. I. Shtern, “Continuous Pseudocharacters on Connected Locally Compact Groups are Characters”, Funktsional. Anal. i Prilozhen., 27:4 (1993),  87–90  mathnet  mathscinet  zmath; Funct. Anal. Appl., 27:4 (1993), 292–294  isi
1991
28. A. I. Shtern, “Quasirepresentations and pseudorepresentations”, Funktsional. Anal. i Prilozhen., 25:2 (1991),  70–73  mathnet  mathscinet  zmath; Funct. Anal. Appl., 25:2 (1991), 140–143  isi
29. A. I. Shtern, “On operators in Frйchet spaces that are similar to isometries”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1991, 4,  67–70  mathnet  mathscinet  zmath
1990
30. A. I. Shtern, “The pseudocharacter determined by the Rademacher symbol”, Uspekhi Mat. Nauk, 45:3(273) (1990),  197–198  mathnet  mathscinet  zmath; Russian Math. Surveys, 45:3 (1990), 224–225  isi
1985
31. A. I. Shtern, “Duality for crossed products of von Neumann algebras”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 27 (1985),  33–65  mathnet  mathscinet  zmath; J. Soviet Math., 37:6 (1987), 1396–1421
32. A. I. Shtern, “Nuclear $C^*$-algebras and related questions”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 26 (1985),  107–125  mathnet  mathscinet  zmath; J. Soviet Math., 38:2 (1987), 1762–1772
1982
33. A. I. Shtern, “Second dual of a von Neumann algebra”, Funktsional. Anal. i Prilozhen., 16:2 (1982),  90  mathnet  mathscinet  zmath; Funct. Anal. Appl., 16:2 (1982), 152  isi
1981
34. A. I. Shtern, “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  mathnet  mathscinet  zmath; Russian Math. Surveys, 36:5 (1981), 179–180  isi
1973
35. A. I. Shtern, “Locally bicompact groups with finite-dimensional irreducible representations”, Mat. Sb. (N.S.), 90(132):1 (1973),  86–95  mathnet  mathscinet  zmath; Math. USSR-Sb., 19:1 (1973), 85–94
1971
36. A. I. Shtern, “Separable locally compact groups with discrete support for the regular representation”, Dokl. Akad. Nauk SSSR, 198:6 (1971),  1287–1290  mathnet  mathscinet  zmath
37. A. I. Shtern, “Connection between the topologies of a locally bicompact group and its dual space”, Funktsional. Anal. i Prilozhen., 5:4 (1971),  56–63  mathnet  mathscinet  zmath; Funct. Anal. Appl., 5:4 (1971), 311–317
38. A. I. Shtern, “Groups with bicompact dual space”, Uspekhi Mat. Nauk, 26:3(159) (1971),  217–218  mathnet  mathscinet  zmath
1969
39. A. I. Shtern, “Completely irreducible class I representations of real semisimple Lie groups”, Dokl. Akad. Nauk SSSR, 188:5 (1969),  1017–1019  mathnet  mathscinet  zmath
1968
40. A. I. Shtern, “Completely irreducible representations of $SU(2,1)$”, Dokl. Akad. Nauk SSSR, 179:6 (1968),  1289–1292  mathnet  mathscinet  zmath
41. A. I. Shtern, “Completely irreducible representation of $SU (2,1)$ and their traces”, Funktsional. Anal. i Prilozhen., 2:4 (1968),  94–95  mathnet  mathscinet  zmath; Funct. Anal. Appl., 2:4 (1968), 344–345
1964
42. A. I. Shtern, “Completely irreducible representations of the real unimodular group of second order”, Dokl. Akad. Nauk SSSR, 154:4 (1964),  798–801  mathnet  mathscinet  zmath

1982
43. A. I. Shtern, “Lion G., Vergue М. 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  mathnet; U.S.S.R. Comput. Math. Math. Phys., 22:2 (1982), 254
1977
44. A. I. Shtern, “Spectral synthesis: J. J. Benedetto, 278 p., B. G. Teubner, Stuttgart, 1975. Book review”, Zh. Vychisl. Mat. Mat. Fiz., 17:4 (1977),  1088–1089  mathnet; U.S.S.R. Comput. Math. Math. Phys., 17:4 (1977), 267–269

Presentations in Math-Net.Ru
1. Связные компактные группы с единственной компактной групповой топологией
A. I. Shtern
Noncommutative geometry and topology
April 20, 2017 17:05
2. Деривации групповых алгебр
A. S. Mishchenko, A. I. Shtern, A. A. Arutyunov
Noncommutative geometry and topology
April 20, 2017 17:00
3. Проблемы с неограниченными квази-представлениями аменабельных групп
A. I. Shtern
Noncommutative geometry and topology
November 13, 2014 16:45
4. Конечномерные локально ограниченные квазипредставления связных групп Ли
A. I. Shtern
Seminar of the Department of Algebra
September 28, 2010 15:00
5. Конечномерные локально ограниченные квазипредставления связных групп Ли
A. I. Shtern
Meetings of the Moscow Mathematical Society
March 13, 2007

Organisations
 
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