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Izvestiya: Mathematics, 1998, Volume 62, Issue 2, Pages 339–374
DOI: https://doi.org/10.1070/im1998v062n02ABEH000178
(Mi im178)
 

This article is cited in 4 scientific papers (total in 4 papers)

Invariant subspaces in some function spaces on symmetric spaces. II

S. S. Platonov

Petrozavodsk State University
References:
Abstract: Let $G$ be a semisimple connected Lie group with finite centre, $K$ a maximal compact subgroup of $G$, and $M=G/K$ a Riemannian symmetric space of non-compact type. We study the problem of describing the structure of closed linear subspaces in various function spaces on $M$ that are invariant under the quasiregular representation of the group $G$. We consider the case when $M$ is a symplectic symmetric space of rank 1.
Received: 25.01.1996
Bibliographic databases:
MSC: 43A85, 22E46
Language: English
Original paper language: Russian
Citation: S. S. Platonov, “Invariant subspaces in some function spaces on symmetric spaces. II”, Izv. Math., 62:2 (1998), 339–374
Citation in format AMSBIB
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\by S.~S.~Platonov
\paper Invariant subspaces in some function spaces on symmetric spaces. II
\jour Izv. Math.
\yr 1998
\vol 62
\issue 2
\pages 339--374
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\crossref{https://doi.org/10.1070/im1998v062n02ABEH000178}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-22044450681}
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  • https://doi.org/10.1070/im1998v062n02ABEH000178
  • https://www.mathnet.ru/eng/im/v62/i2/p131
    Cycle of papers
    This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:417
    Russian version PDF:207
    English version PDF:26
    References:58
    First page:1
     
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