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
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
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
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\paper Homogeneous and quasi-homogeneous representations of a~locally compact group
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\jour Math. USSR-Izv.
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This publication is cited in the following articles:
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
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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