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