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Akbarov Sergei Saidmuzafarovich

Total publications: 27
Scientific articles: 27
in MathSciNet: 21
in zbMATH: 22
in Web of Science: 20
in Scopus: 8
Cited articles: 17
Citations in Math-Net.Ru: 34
Citations in MathSciNet: 32
Citations in Web of Science: 12
Citations in Scopus: 5
Presentations: 3

Number of views:
This page:2093
Abstract pages:3008
Full texts:1016
References:265
Akbarov Sergei Saidmuzafarovich
Associate professor
Doctor of physico-mathematical sciences (2010)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Keywords: functional analysis, topological vector spaces, topological groups, abstract harmonic analysis, category theory.
UDC: 517.98, 519.4, 519.46, 513.88, 517.986
MSC: 46-xx, 43-xx, 22-xx, 18-xx

Subject:

Stereotype theory (Pontryagin duality for topological vector spaces and topological algebras). Differential structure of locally compact groups.

Biography

Graduated from Moscow Institute of Electronics and Mathematics (MIEM), department of applied mathematics. Ph.D. thesis was defended in MIEM 1989. Second PhD thesis in Moscow State University in 2010.

   
Main publications:
  1. S. S. Akbarov, “Envelopes and refinements in categories, with applications to functional analysis”, Dissertaciones mathematicae, 513:1 (2016), 1–188  crossref  zmath  isi  isi  scopus
  2. S. S. Akbarov, “Golomorfnye funktsii eksponentsialnogo tipa i dvoistvennost dlya grupp Shteina s algebraicheskoi svyaznoi komponentoi edinitsy”, Fundament. i prikl. matem., 14:1 (2008), 3–178  mathnet  mathscinet  zmath  elib; S. S. Akbarov, “Holomorphic functions of exponential type and duality for Stein groups with algebraic connected component of identity”, J. Math. Sci., 162:4 (2009), 459–586  crossref  mathscinet  zmath  elib  scopus
  3. S. S. Akbarov, “Pontryagin duality in the theory of topological vector spaces and in Topological Algebra”, Journal of Mathematical Sciences, 113:2 (2003), 179–349  crossref  mathscinet  zmath

http://www.mathnet.ru/eng/person8763
http://scholar.google.com/citations?user=SbwfuaAAAAAJ&hl=en
List of publications on ZentralBlatt
http://elibrary.ru/author_items.asp?spin=4306-9920
http://orcid.org/0000-0001-5176-8827
http://www.researcherid.com/rid/N-5584-2016
http://www.scopus.com/authid/detail.url?authorId=56274082000
https://www.researchgate.net/profile/Sergei_Akbarov
http://arxiv.org/a/akbarov_s_1

Full list of publications:
| by years | by types | by times cited | scientific publications | common list |



   2017
1. S. S. Akbarov, “Nepreryvnye i gladkie obolochki topologicheskikh algebr. Chast 2”, Funktsionalnyi analiz, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 130, VINITI RAN, M., 2017, 3–112  mathnet
2. S. S. Akbarov, “Continuous and smooth envelopes of topological algebras. Part 1”, Functional analysis, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 129, VINITI, Moscow, 2017, 3–133  mathnet

   2016
3. S. S. Akbarov, “Envelopes and refinements in categories, with applications to functional analysis”, Dissertaciones mathematicae, 513:1 (2016), 1–188  crossref  zmath  isi (cited: 1)  isi (cited: 1)  scopus
4. S. S. Akbarov, “An Algebra of Continuous Functions as a Continuous Envelope of Its Subalgebras”, Funct. Anal. Appl., 50:2 (2016), 143–145  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

   2015
5. S. S. Akbarov, “$C^\infty(M)$ as a Smooth Envelope of Its Subalgebras”, Math. Notes, 97:4 (2015), 489–492  mathnet  crossref  isi  elib  scopus

   2013
6. S. S. Akbarov, “The Gelfand Transform as a $C^*$-Envelope”, Math. Notes, 94:5 (2013), 814–815  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2008
7. S. S. Akbarov, “Golomorfnye funktsii eksponentsialnogo tipa i dvoistvennost dlya grupp Shteina s algebraicheskoi svyaznoi komponentoi edinitsy”, Fundament. i prikl. matem., 14:1 (2008), 3–178  mathnet (cited: 2)  mathscinet (cited: 3)  zmath  elib; S. S. Akbarov, “Holomorphic functions of exponential type and duality for Stein groups with algebraic connected component of identity”, J. Math. Sci., 162:4 (2009), 459–586  crossref  mathscinet  zmath  elib  scopus (cited: 3)

   2006
8. S. S. Akbarov, “Structure of Modules over the Stereotype Algebra $\mathcal{L}(X)$ of Operators”, Funct. Anal. Appl., 40:2 (2006), 81–90  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus

   2005
9. S. S. Akbarov, “Pontryagin duality and topological algebras”, Topological algebras, their applications, and related topics, Proceedings of the conference to celebrate the 70th birthday of Professor Wiesław Żelazko (Bȩdlewo, May 11-17, 2003), 67, eds. K.Jarosz, A.Soltysiak, Banach Center Publications, 2005, 55–71 http://opac.ciniba.edu.pl/191800869977/conferenceontopologicalalgebrastheirapplicationsandrelatedtopics/topologicalalgebrastheirapplicationsandrelatedtopics  zmath

   2003
10. S. S. Akbarov, E. T. Shavgulidze, “Two classes of spaces reflexive in the sense of Pontryagin”, Sb. Math., 194:10 (2003), 1427–1449  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 1)
11. S. S. Akbarov, “Pontryagin duality in the theory of topological vector spaces and in Topological Algebra”, Journal of Mathematical Sciences, 113:2 (2003), 179–349  crossref  mathscinet (cited: 7)  zmath

   2000
12. S. S. Akbarov, “Absolute Homology Theory of Stereotype Algebras”, Funct. Anal. Appl., 34:1 (2000), 60–63  mathnet  crossref  crossref  mathscinet  zmath  isi
13. S. S. Akbarov, “Stereotype locally convex spaces”, Izv. Math., 64:4 (2000), 653–694  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)

   1999
14. S. S. Akbarov, “Stereotype Approximation Property and the Uniqueness Problem for the Trace”, Funct. Anal. Appl., 33:2 (1999), 137–140  mathnet  crossref  crossref  mathscinet  zmath  isi
15. S. S. Akbarov, “Stereotype group algebras”, Math. Notes, 66:6 (1999), 777–780  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)
16. S. S. Akbarov, “Stereotype algebras with reflection and the bicommutant theorem”, Math. Notes, 66:5 (1999), 651–655  mathnet  crossref  crossref  mathscinet  zmath  isi

   1995
17. S. S. Akbarov, “Pontryagin Duality in the Theory of Topological Modules”, Funct. Anal. Appl., 29:4 (1995), 276–279  mathnet  crossref  mathscinet  zmath  isi (cited: 1)
18. S. S. Akbarov, “Construction of the cotangent bundle of a locally compact group”, Izv. Math., 59:3 (1995), 445–470  mathnet  crossref  mathscinet  zmath  isi
19. S. S. Akbarov, “Differential geometry and quantization on a locally compact group”, Izv. Math., 59:2 (1995), 271–286  mathnet  crossref  mathscinet  zmath  isi
20. S. S. Akbarov, “Smooth structure and differential operators on a locally compact group”, Izv. Math., 59:1 (1995), 1–44  mathnet  crossref  mathscinet  zmath  isi (cited: 3)
21. S. S. Akbarov, “Pontryagin duality in the theory of topological vector spaces”, Math. Notes, 57:3 (1995), 319–322  mathnet  crossref  mathscinet  zmath  isi (cited: 3)

   1994
22. S. S. Akbarov, “Fourier transform of invariant differential operators on a locally-compact Abelian group”, Math. Notes, 56:2 (1994), 852–855  mathnet  crossref  mathscinet  zmath  isi
23. S. S. Akbarov, “Kriterii polnoty analiticheskogo vektornogo polya na lokalno kompaktnoi abelevoi gruppe”, Matem. sb., 185:11 (1994), 3–22  mathnet  mathscinet  zmath; S. S. Akbarov, “A criterion for completeness of an analytic vector field on a locally compact Abelian group”, Russian Acad. Sci. Sb. Math., 83:2 (1995), 297–313  crossref  mathscinet  zmath  isi

   1992
24. S. S. Akbarov, “Structure of differential operators on a locally compact abelian group”, Math. Notes, 52:4 (1992), 995–1002  mathnet  crossref  mathscinet  zmath  isi (cited: 1)

   1991
25. S. S. Akbarov, “Derivatives of the algebra of smooth functions on a locally compact Abelian group”, Math. Notes, 50:2 (1991), 771–778  mathnet  crossref  mathscinet  zmath  isi

   1989
26. S. S. Akbarov, “Vector fields on locally compact abelian groups”, Mat. Zametki, 45:1 (1989), 132–134  mathnet  mathscinet  zmath
27. S. S. Akbarov, “O stepennykh ryadakh s koeffitsientami v nenormiruemykh prostranstvakh”, Izvestiya AN Armyanskoi SSR, 23:2 (1989), 172–181

Presentations in Math-Net.Ru
1. Envelopes and geometry
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
March 16, 2016 16:45
2. О двойственности в дифференциальной геометрии
Noncommutative geometry and topology
February 26, 2015 16:45
3. Голоморфные функции экспоненциального типа и двойственность для групп Штейна с алгебраической связной компонентой единицы
Lie groups and invariant theory
March 18, 2009

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