Irreducibility of unitary group representations and reproducing kernels Hilbert spaces. Appendix on two point homogeneous compact ultrametric spaces in collaboration with Rostislav Grigorchuk.

DOI10.1016/S0723-0869(03)80014-2zbMath1037.22009MaRDI QIDQ1424727

Pierre De la Harpe, Mohammed El Bachir Bekka

Publication date: 17 March 2004

Published in: Expositiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

unitary representationsirreducible representationsreproducing kernels

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

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