Paley-Wiener spaces for real reductive Lie groups

DOI10.1016/S0019-3577(05)80031-XzbMath1107.22009arXivmath/0411363OpenAlexW2008267023WikidataQ115340620 ScholiaQ115340620MaRDI QIDQ855590

Henrik Schlichtkrull, Erik P. van den Ban

Publication date: 7 December 2006

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411363

zbMATH Keywords

real reductive Lie groups\(K\)-finite functionsreductive symmetric spacesPaley-Wiener theorems

Mathematics Subject Classification ID

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

Related Items (1)

A prime geodesic theorem for \(\mathrm{SL}_3(\mathbb{Z})\)

Cites Work

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• Asymptotic behavior of matrix coefficients of admissible representations
• A Paley-Wiener theorem for real reductive groups
• Harmonic analysis on real reductive groups. I: The theory of the constant term
• Harmonic analysis on real reductive groups. III: The Maass-Selberg relations and the plancherel formula
• Harmonic analysis on real reductive groups. II: Wave-packets in the Schwartz space
• Fourier transform on the Schwartz space of a reductive symmetric space
• Fourier transforms on a semisimple symmetric space
• Fourier inversion on a reductive symmetric space
• A PALEY–WIENER THEOREM FOR DISTRIBUTIONS ON REDUCTIVE SYMMETRIC SPACES

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