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Litvinov, Grigory Lazarevich

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Total publications: 20
Scientific articles: 19
Presentations: 5

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Abstract pages:7511
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Senior Researcher
Candidate of physico-mathematical sciences (1971)
E-mail: ,
Website: http://www.mccme.ru/~litvinov
Keywords: functional analysis, idempotent and tropical mathematics, representations of Lie groups, hypergroups, rational approximations, interval analysis, numerical methods, computer technologies.
UDC: 517.9, 517.958:530.145, 514.84

Subject:

Functional analysis, idempotent and tropical mathematics, representations of Lie groups, hypergroups, rational approximations, interval analysis, numerical methods, computer technologies.

   
Main publications:
  1. G. L. Litvinov, “Representation of groups in locally convex spaces and topological group algebras”, Selecta Math. Sovietica, 7:2 (1988), 101–182  zmath
  2. G. L. Litvinov, “Hypergroups and hypergroup algebras”, Journal of Soviet Math., 38 (1987), 1734–1761  crossref  zmath
  3. G. L. Litvinov, “Approximation properties of locally convex spaces and the problem of uniqueness of the trace of a linear operator”, Selecta Math. Sov., 11:1 (1992), 25–40  mathscinet
  4. G. L. Litvinov, “Error autocorrection in rational approximations and interval estimates”, E-print journal, Central European Journal of Mathematics, 1:1 (2003), 36–60  crossref  mathscinet  zmath
  5. G. L. Litvinov, “The Maslov dequantization, idempotent and tropical mathematics: a brief introduction”, Journal of Mathematical Sciences, 140:3 (2007), 426–444  crossref  mathscinet

http://www.mathnet.ru/eng/person18853
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:litvinov.grigory-l
https://mathscinet.ams.org/mathscinet/MRAuthorID/192520
Full list of publications: Download file (34 kB)

Publications in Math-Net.Ru
2019
1. G. L. Litvinov, А. Ya. Rodionov, S. Sergeev, A. N. Sobolevski, “Universal algorithms for solving discrete stationary Bellman equations”, Russian Universities Reports. Mathematics, 24:128 (2019),  393–431  mathnet  elib
2014
2. B. Kh. Kirshtein, G. L. Litvinov, “Analyzing stable regimes of electrical power systems and tropical geometry of power balance equations over complex multifields”, Avtomat. i Telemekh., 2014, 10,  110–124  mathnet; Autom. Remote Control, 75:10 (2014), 1802–1813  isi  scopus
2006
3. G. L. Litvinov, G. B. Shpiz, “Kernel theorems and nuclearity in idempotent mathematics. An algebraic approach”, Zap. Nauchn. Sem. POMI, 331 (2006),  60–83  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 141:4 (2007), 1417–1428  elib  scopus
2005
4. G. L. Litvinov, “The Maslov dequantization, idempotent and tropical mathematics: a brief introduction”, Zap. Nauchn. Sem. POMI, 326 (2005),  145–182  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 140:3 (2007), 426–444  elib  scopus
2001
5. G. L. Litvinov, V. P. Maslov, G. B. Shpiz, “Nondigital Implementation of the Arithmetic of Real Numbers”, Mat. Zametki, 70:1 (2001),  59–67  mathnet  mathscinet  zmath  elib; Math. Notes, 70:1 (2001), 53–60  isi
6. G. L. Litvinov, V. P. Maslov, G. B. Shpiz, “Idempotent Functional Analysis: An Algebraic Approach”, Mat. Zametki, 69:5 (2001),  758–797  mathnet  mathscinet  zmath  elib; Math. Notes, 69:5 (2001), 696–729  isi
1999
7. G. L. Litvinov, V. P. Maslov, G. B. Shpiz, “Tensor products of idempotent semimodules. An algebraic approach”, Mat. Zametki, 65:4 (1999),  573–586  mathnet  mathscinet  zmath; Math. Notes, 65:4 (1999), 479–489  isi
1996
8. G. L. Litvinov, V. P. Maslov, “Idempotent mathematics: a correspondence principle and its applications to computing”, Uspekhi Mat. Nauk, 51:6(312) (1996),  209–210  mathnet  mathscinet  zmath; Russian Math. Surveys, 51:6 (1996), 1210–1211  isi  scopus
1985
9. G. L. Litvinov, “Hypergroups and hypergroup algebras”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 26 (1985),  57–106  mathnet  mathscinet  zmath; J. Soviet Math., 38:2 (1987), 1734–1761
1981
10. G. L. Litvinov, V. I. Lomonosov, “Density theorems in locally convex spaces and irreducible representations”, Dokl. Akad. Nauk SSSR, 257:4 (1981),  826–830  mathnet  mathscinet  zmath
11. L. I. Vainerman, G. L. Litvinov, “The Plancherel formula and the inversion formula for generalized translation operators”, Dokl. Akad. Nauk SSSR, 257:4 (1981),  792–795  mathnet  mathscinet  zmath
1979
12. G. L. Litvinov, “Traces of linear operators in locally convex spaces”, Funktsional. Anal. i Prilozhen., 13:1 (1979),  73–74  mathnet  mathscinet  zmath; Funct. Anal. Appl., 13:1 (1979), 60–62
1978
13. G. L. Litvinov, G. B. Shpiz, “Primary decompositions of finite-dimensional representations of Lie algebras and Lie groups”, Funktsional. Anal. i Prilozhen., 12:2 (1978),  86–87  mathnet  mathscinet  zmath; Funct. Anal. Appl., 12:2 (1978), 149–151
1974
14. G. L. Litvinov, “On traces of operators and characters of irreducible representations in locally convex spaces”, Dokl. Akad. Nauk SSSR, 214:5 (1974),  1027–1030  mathnet  mathscinet  zmath
15. G. L. Litvinov, “Characters and simple representations”, Dokl. Akad. Nauk SSSR, 214:3 (1974),  509–512  mathnet  mathscinet  zmath
1972
16. G. L. Litvinov, “The Laplace transform on Lie groups”, Funktsional. Anal. i Prilozhen., 6:1 (1972),  83–84  mathnet  mathscinet  zmath; Funct. Anal. Appl., 6:1 (1972), 76–77
1971
17. G. L. Litvinov, “The continuous representations of metabelian Lie groups in locally convex spaces”, Uspekhi Mat. Nauk, 26:4(160) (1971),  237–238  mathnet  mathscinet  zmath
1970
18. G. L. Litvinov, “Group algebras of analytic functionals, and their representations”, Dokl. Akad. Nauk SSSR, 190:4 (1970),  769–771  mathnet  mathscinet  zmath
1969
19. G. L. Litvinov, “On completely irreducible representations of complex and real nilpotent Lie groups”, Funktsional. Anal. i Prilozhen., 3:4 (1969),  87–88  mathnet  mathscinet  zmath; Funct. Anal. Appl., 3:4 (1969), 332–334

2008
20. A. M. Vershik, I. M. Gel'fand, S. G. Gindikin, A. A. Kirillov, G. L. Litvinov, V. F. Molchanov, Yu. A. Neretin, V. S. Retakh, “Mark Iosifovich Graev (to his 85th brithday)”, Uspekhi Mat. Nauk, 63:1(379) (2008),  169–182  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 63:1 (2008), 173–188  isi

Presentations in Math-Net.Ru
1. Idempotent Mathematics and Optimization on Graphs
G. L. Litvinov
Seminar of M. S. Pinsker Laboratory 1 IITP RAS
November 29, 2012 15:00
2. Dequantization and tropical mathematics
G. L. Litvinov
Seminar of M. S. Pinsker Laboratory 1 IITP RAS
October 11, 2012 15:00
3. Вычисление рациональных приближений к функциям и эффект автокоррекции погрешности
G. L. Litvinov
PreMoLab Seminar
September 13, 2012 16:00
4. Заседание, посвященное памяти Д. Б. Персица на тему «Деквантование и тропическая математика»
G. L. Litvinov
P.K. Rashevskii seminar on tensor and vector analysis with applications in geometry, mechanics and physics
March 19, 2012 19:00
5. Idempotent mathematics and mathematical physics
G. L. Litvinov, V. P. Maslov
Meetings of the St. Petersburg Mathematical Society
May 22, 2001

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