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This article is cited in 1 scientific paper (total in 2 paper)
A criterion for the decomposability of a homogeneous representation of a locally
compact group into a direct integral of its irreducible representations
M. A. Naimark
Abstract:
Sufficient conditions are obtained for the decomposability of a homogeneous representation of a locally compact group into a direct integral of its irreducible representations in terms of the associated algebra of the representation. These results are then applied to homogeneous representations of connected complex semisimple Lie groups.
Bibliography: 11 titles.
Received: 24.01.1975
Citation:
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
Linking options:
https://www.mathnet.ru/eng/im2141https://doi.org/10.1070/IM1976v010n03ABEH001715 https://www.mathnet.ru/eng/im/v40/i3/p544
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