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. 22 publications.
Main publications:
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
S. S. Akbarov, “Stereotype locally convex spaces”, Izvestija Rossiiskoi Akademii Nauk, 64:4 (2000), 3–46
S. S. Akbarov, “Structure of co-tangent bundle of a locally compact group”, Izvestija Rossiiskoi Akademii Nauk, 59:3 (1995), 3–30
S. S. Akbarov, “Differential geometry and quantization on a locally compact group”, Izvestija Rossiiskoi Akademii Nauk, 59:2 (1995), 47–62
S. S. Akbarov, “Smooth structure and differential operators on a locally compact groups”, Izvestija Rossiiskoi Akademii Nauk, 59:1 (1995), 3–48
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