A Cauchy problem for elliptic invariant differential operators and continuity of a generalized Berezin transform

DOI10.5802/AIF.2272zbMath1123.22008OpenAlexW2322982715MaRDI QIDQ2372810

Bent Orsted, Jorge Antonio Vargas

Publication date: 1 August 2007

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2007__57_3_693_0

zbMATH Keywords

unitary representationsemisimple Lie groupBerezin transformCasimir operatorbranching lawsinvariant elliptic operators

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46)

Related Items (1)

THE CONTINUOUS SPECTRUM IN DISCRETE SERIES BRANCHING LAWS

Cites Work

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• The \(L^2\)-index theorem for homogeneous spaces of Lie groups
• Restrictions and expansions of holomorphic representations
• The Kunze-Stein phenomenon
• Holomorphy and convexity in Lie theory
• Restriction of square integrable representations: discrete spectrum
• Asymptotic behaviour of eigen functions on a semisimple Lie group: The discrete spectrum

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