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, differential geometry.
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.

Main publications:

1. S. S. Akbarov, Stereotype spaces and algebras, De Gruyter Expositions in Mathematics, 73, De Gruyter, Berlin, 2022, 784 pp.  
2. S. S. Akbarov, “Сontinuous and smooth envelopes of topological algebras. Part 2”, J. Math. Sci. (N. Y.), 227:6 (2017), 669–789          
3. S. S. Akbarov, “Continuous and smooth envelopes of topological algebras. Part 1”, J. Math. Sci. (N. Y.), 227:5 (2017), 531–668        
4. S. S. Akbarov, “Envelopes and refinements in categories, with applications to functional analysis”, Dissertaciones mathematicae, 513:1 (2016), 1–188      
5. 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              
6. 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      

Publications

Talks and lectures

Personal pages:

• 
• 
• 
• 
• 
• 
• ISTINA
• 
• 
• 
• 
• 

Organisations:

• Moscow Institute of Electronic Engineering
• Moscow Aviation Institute (National Research University)
• Bauman Moscow State Technical University
• Moscow State Institute of Electronics and Mathematics
• All-Russian Institute for Scientific and Technical Information of Russian Academy of Sciences, Moscow