Horospherical transform on real symmetric varieties: kernel and cokernel

DOI10.1007/s10688-009-0004-3zbMath1271.43005OpenAlexW2087919002MaRDI QIDQ366186

Bernhard Krötz

Publication date: 12 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-009-0004-3

zbMATH Keywords

Fourier transformhorospherical transformPlancherel theorem.semisimple symmetric space

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)

Cusp forms for reductive symmetric spaces of split rank one ⋮ Radon transformation on reductive symmetric spaces: support theorems ⋮ Cuspidal discrete series for semisimple symmetric spaces

Cites Work

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• Holomorphic \(H\)-spherical distribution vectors in principal series representations
• Hyperfunctions and harmonic analysis on symmetric spaces
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• The orbits of affine symmetric spaces under the action of minimal parabolic subgroups
• The most continuous part of the Plancherel decomposition for a reductive symmetric space
• Fourier inversion on a reductive symmetric space
• The Plancherel decomposition for a reductive symmetric space. II: Representation theory
• On Function Spaces on Symmetric Spaces
• Holomorphic horospherical transform on noncompactly causal spaces
• Horospherical model for holomorphic discrete series and horospherical Cauchy transform
• Lie groups beyond an introduction

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