The Plancherel theorem for invariant Hilbert spaces

DOI10.1007/PL00004862zbMath1005.32011OpenAlexW1973921288MaRDI QIDQ5947778

Joachim Hilgert, Bernhard Krötz

Publication date: 22 October 2001

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004862

zbMATH Keywords

Radon measurereproducing kernel functionsspherical unitary highest weight representations

Mathematics Subject Classification ID

Topology of analytic spaces (32C18) Semisimple Lie groups and their representations (22E46) Holomorphically convex complex spaces, reduction theory (32E05)

Related Items (4)

Computation of weighted Bergman inner products on bounded symmetric domains and Parseval-Plancherel-type formulas under subgroups ⋮ Spherical unitary highest weight representations ⋮ Spherical functions on mixed symmetric spaces ⋮ Existence and multiplicity of non-trivial solutions for the fractional Schrödinger-Poisson system with superlinear terms

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