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Group representations on spaces of distributions

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Publication:1264921
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zbMath0919.43009MaRDI QIDQ1264921

Gerrit Van Dijk

Publication date: 5 October 1998

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

unitary representationsreal Lie groupgeneralized Gelfand pairsHilbert subspaces of distributions


Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Group algebras of locally compact groups (22D15)


Related Items

Invariant distributions on a non-isotropic pseudo-Riemannian symmetric space of rank one, A unified approach to concrete Plancherel theory of homogeneous spaces, Berezin kernels of tube domains, Multiplicity one for representations corresponding to spherical distribution vectors of class \(\rho\), Some spherical analysis related to the pairs \((U(n),H_n)\) and \((U(p,q),H_n),p + q = n\), A generalized Gelfand pair attached to a 3-step nilpotent Lie group, Generalized Gelfand pairs associated to \(m\)-step nilpotent Lie groups



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