The Berezin form and harmonic analysis on a pair of hyperboloids

DOI10.1134/S1064562411040016zbMath1234.22005OpenAlexW2067862633MaRDI QIDQ656369

A. A. Artemov

Publication date: 17 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562411040016

zbMATH Keywords

intertwining operatorBerezin transformationcanonical-boundary representationgeneralized Lorentz group

Mathematics Subject Classification ID

Structure and representation of the Lorentz group (22E43) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Cites Work

• Canonical representations on the two-sheeted hyperboloid
• Tensor products of maximal degenerate series representations of the group \(SL(n,\mathbb{R})\)
• Canonical and boundary representations on a hyperboloid of one sheet
• Poisson transformation for one-sheeted hyperboloids

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