Litvinov, G. L. 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. Cited in 2 Documents 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 Keywords:topological group algebras; Laplace transform on Lie groups; representations of metabelian Lie groups; locally convex spaces; completely irreducible representations Citations:Zbl 0152.332; Zbl 0202.139; Zbl 0227.22018; Zbl 0257.22017 PDFBibTeX XMLCite \textit{G. L. Litvinov}, Sel. Math. Sov. 7, No. 2, 101--182 (1988; Zbl 0659.22010); translation from Tr. Semin. Vektorn. Tenzorn. Anal. 16, 267--349 (1972)