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Representations of groups in locally convex spaces and topological group algebras. (English. Russian original) Zbl 0659.22010

Sel. Math. Sov. 7, No. 2, 101-182 (1988); translation from Tr. Semin. Vektorn. Tenzorn. Anal. 16, 267-349 (1972).
See the review in Zbl 0257.22017.

MSC:

22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
22E27 Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.)
43A30 Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc.
46A03 General theory of locally convex spaces
47L10 Algebras of operators on Banach spaces and other topological linear spaces
22D15 Group algebras of locally compact groups
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