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Mathematics of the USSR-Izvestiya, 1976, Volume 10, Issue 3, Pages 515–533
DOI: https://doi.org/10.1070/IM1976v010n03ABEH001715 (Mi im2141) 		 
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
English version PDF (840 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM1976v010n03ABEH001715
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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1976, Volume 40, Issue 3, Pages 544–561
Bibliographic databases:
UDC: 513.88
MSC: Primary 22D12; Secondary 22E45
Language: English
Original paper language: Russian
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”, Izv. Akad. Nauk SSSR Ser. Mat., 40:3 (1976), 544–561; Math. USSR-Izv., 10:3 (1976), 515–533
Citation in format AMSBIB
\Bibitem{Nai76}
\by M.~A.~Naimark
\paper A~criterion for the decomposability of a~homogeneous representation of a~locally
compact group into a~direct integral of its irreducible representations
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1976
\vol 40
\issue 3
\pages 544--561
\mathnet{http://mi.mathnet.ru/im2141}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=419674}
\zmath{https://zbmath.org/?q=an:0343.22007}
\transl
\jour Math. USSR-Izv.
\yr 1976
\vol 10
\issue 3
\pages 515--533
\crossref{https://doi.org/10.1070/IM1976v010n03ABEH001715}
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  • https://doi.org/10.1070/IM1976v010n03ABEH001715
  • https://www.mathnet.ru/eng/im/v40/i3/p544
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:274
    Russian version PDF:98
    English version PDF:13
    References:49
    First page:1
     
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