Spectral decomposition of Berezin transformations on \(C^n\) related to the natural \(U(n)\)-action

DOI10.1215/KJM/1250518458zbMath0910.43006OpenAlexW1519593233MaRDI QIDQ1367068

Etsuro Fujita, Takaaki Nomura

Publication date: 22 February 1999

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250518458

zbMATH Keywords

spectral decompositioncompact Lie groupsmultiplicity free actionsBerezin transformations

Mathematics Subject Classification ID

Harmonic analysis on specific compact groups (43A75) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Harmonic analysis and spherical functions (43A90)

Related Items (3)

Berezin Transforms Attached to Landau Levels on the Complex Projective Space P^n(ℂ) ⋮ Berezin transforms on the \(2\times 2\) matrix space related to the \(U(2)\times U(2)\)-action ⋮ Takaaki Nomura: a prominent figure of the Tunisia-Japan cooperation

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