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This article is cited in 6 scientific papers (total in 6 papers)
Invariant subspaces of some function spaces on symmetric spaces. I
S. S. Platonov Petrozavodsk State University
Abstract:
The article describes the construction of closed linear subspaces of some function spaces on the symmetric space $M=\operatorname{SU}(n,1)/U(n)$ that are invariant with respect to the natural quasiregular representation of the group $\operatorname{SU}(n,1)$. The function spaces considered include, in particular, the spaces $C^d(M)$ $(d=0,1,\dots,\infty)$ and spaces of functions of exponential growth on $M$.
Received: 13.05.1994
Citation:
S. S. Platonov, “Invariant subspaces of some function spaces on symmetric spaces. I”, Izv. Math., 59:5 (1995), 1007–1050
Linking options:
https://www.mathnet.ru/eng/im46https://doi.org/10.1070/IM1995v059n05ABEH000046 https://www.mathnet.ru/eng/im/v59/i5/p127
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Abstract page: | 318 | Russian version PDF: | 244 | English version PDF: | 26 | References: | 36 | First page: | 1 |
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