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This article is cited in 1 scientific paper (total in 2 paper)
Homogeneous and quasi-homogeneous representations of a locally compact group
M. A. Naimark
Abstract:
For continuous representations of a locally compact group in a complete locally convex space the concepts of homogeneous and quasi-homogeneous representations are introduced. Various properties of such representations are investigated, criteria obtained for their irreducibility and complete irreducibility, and conditions given for their decomposability.
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Mathematics of the USSR-Izvestiya, 1972, 6:5, 1009–1036
Bibliographic databases:
UDC:
513.88
MSC: 22D12 Received: 24.01.1972
Citation:
M. A. Naimark, “Homogeneous and quasi-homogeneous representations of a locally compact group”, Izv. Akad. Nauk SSSR Ser. Mat., 36:5 (1972), 1020–1048; Math. USSR-Izv., 6:5 (1972), 1009–1036
Citation in format AMSBIB
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\by M.~A.~Naimark
\paper Homogeneous and quasi-homogeneous representations of a~locally compact group
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1972
\vol 36
\issue 5
\pages 1020--1048
\mathnet{http://mi.mathnet.ru/izv2344}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=367107}
\zmath{https://zbmath.org/?q=an:0255.22011}
\transl
\jour Math. USSR-Izv.
\yr 1972
\vol 6
\issue 5
\pages 1009--1036
\crossref{https://doi.org/10.1070/IM1972v006n05ABEH001910}
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http://mi.mathnet.ru/eng/izv2344 http://mi.mathnet.ru/eng/izv/v36/i5/p1020
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This publication is cited in the following articles:
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M. A. Naimark, “A criterion for the decomposability of a homogeneous representation of a locally
compact group into a direct integral of its irreducible representations”, Math. USSR-Izv., 10:3 (1976), 515–533
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I. M. Gel'fand, M. I. Graev, D. P. Zhelobenko, R. S. Ismagilov, M. G. Krein, L. D. Kudryavtsev, S. M. Nikol'skii, A. Ya. Helemskii, A. V. Strauss, “Mark Aronovich Naimark (obituary)”, Russian Math. Surveys, 35:4 (1980), 157–164
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