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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
English version PDF (349 kB) Citations (4)
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DOI: https://doi.org/10.1070/im1998v062n02ABEH000178
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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1998, Volume 62, Issue 2, Pages 131–168
DOI: https://doi.org/10.4213/im178
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. RAN. Ser. Mat., 62:2 (1998), 131–168; 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
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\pages 131--168
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\jour Izv. Math.
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    This publication is cited in the following 4 articles:
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    References:56
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