Horospherical model for holomorphic discrete series and horospherical Cauchy transform

DOI10.1112/S0010437X06001965zbMath1108.22009arXivmath/0411564OpenAlexW1977581267MaRDI QIDQ5483972

Bernhard Krötz, Gestur Olafsson, Simon G. Gindikin

Publication date: 24 August 2006

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411564

zbMATH Keywords

symmetric spacesHardy spacessemisimple Lie groupshorospheresCauchy kernelhorospherical transform

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46)

Related Items (3)

Horospherical transform on real symmetric varieties: kernel and cokernel ⋮ The holomorphic discrete series contribution to the generalized Whittaker Plancherel formula ⋮ Harmonic analysis on symmetric Stein manifolds from the point of view of complex analysis

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