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Shtern, Alexander Isaakovich
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.).

https://www.mathnet.ru/eng/person12175
List of publications on Google Scholar
https://zbmath.org/authors/ai:shtern.alexander-i
https://mathscinet.ams.org/mathscinet/MRAuthorID/220429
ISTINA https://istina.msu.ru/workers/1227986

Publications in Math-Net.Ru Citations
2024
1. A. I. Shtern, “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  mathnet
2. A. I. Shtern, “Condition for the weak continuity of representations of topological groups in Fréchet spaces”, Uspekhi Mat. Nauk, 79:4(478) (2024),  179–180  mathnet; Russian Math. Surveys, 79:4 (2024), 736–738  scopus 1
3. A. I. Shtern, “Automatic continuity of a locally bounded homomorphism of Lie groups on the commutator subgroup”, Mat. Sb., 215:6 (2024),  151–158  mathnet  mathscinet  zmath; Sb. Math., 215:6 (2024), 861–868  isi  scopus
2023
4. A. I. Shtern, “Continuity criteria for locally bounded homomorphisms of certain Lie groups”, Fundam. Prikl. Mat., 24:4 (2023),  213–216  mathnet; J. Math. Sci., 284:4 (2024), 554–556
2017
5. A. I. Shtern, “Locally bounded finally precontinuous finite-dimensional quasirepresentations of connected locally compact groups”, Mat. Sb., 208:10 (2017),  149–170  mathnet  mathscinet  zmath  elib; Sb. Math., 208:10 (2017), 1557–1576  isi  scopus 19
2016
6. A. A. Arutyunov, A. S. Mishchenko, A. I. Shtern, “Derivations of group algebras”, Fundam. Prikl. Mat., 21:6 (2016),  65–78  mathnet; J. Math. Sci., 248:6 (2020), 709–718 13
7. 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 2
2014
8. 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
9. 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 2
2011
10. 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 3
11. 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 1
2010
12. A. I. Shtern, “Duality between compactness and discreteness beyond Pontryagin duality”, Trudy Mat. Inst. Steklova, 271 (2010),  224–240  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 271 (2010), 212–227  isi  scopus
2008
13. 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 35
2007
14. 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 35
15. 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 11
2006
16. 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 11
17. 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 6
2005
18. 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 6
19. 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 15
20. 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 6
2004
21. 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 3
22. 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 10
2003
23. 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
24. 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 7
2002
25. 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 20
2001
26. 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 9
1999
27. 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 23
1995
28. 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 1
1994
29. 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
30. 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 4
1993
31. 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 2
1991
32. 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 45
33. A. I. Shtern, “On operators in Frйchet spaces that are similar to isometries”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1991, no. 4,  67–70  mathnet  mathscinet  zmath 3
1990
34. 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 16
1985
35. 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 1
36. 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
37. I. Kh. Sabitov, A. I. Shtern, “Rectangular finite element smoothly adjusted with Bell’s triangle”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, no. 2,  74–75  mathnet  mathscinet  zmath
1984
38. A. I. Shtern, “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  mathnet  mathscinet  zmath
1982
39. 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 1
40. A. I. Shtern, “On stability of homomorphisms in the group $\mathbf{R}^*$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 3,  29–32  mathnet  mathscinet  zmath 8
1981
41. 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
42. 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 9
1971
43. 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
44. 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 5
45. A. I. Shtern, “Groups with bicompact dual space”, Uspekhi Mat. Nauk, 26:3(159) (1971),  217–218  mathnet  mathscinet  zmath 1
1969
46. 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
47. A. I. Shtern, “Completely irreducible representations of $SU(2,1)$”, Dokl. Akad. Nauk SSSR, 179:6 (1968),  1289–1292  mathnet  mathscinet  zmath 2
48. 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 3
1964
49. 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
50. 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
51. 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 by Algebra Department
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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