The Whittaker Plancherel theorem

DOI10.1007/S11537-023-2230-5arXiv1705.06787OpenAlexW4392300058MaRDI QIDQ6204172

Nolan R. Wallach

Publication date: 27 March 2024

Published in: Japanese Journal of Mathematics. 3rd Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.06787

zbMATH Keywords

representationSchwartz spaceJacquet integralisotypic componentWhittaker functionaltemperedHarish-Chandra Schwartz space

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Cites Work

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• Harmonic analysis on real reductive groups. II: Wave-packets in the Schwartz space
• On Whittaker vectors and representation theory
• Spherical Functions on a Semisimple Lie Group, I
• Bounding matrix coefficients for smooth vectors of tempered representations
• Cusp forms for reductive symmetric spaces of split rank one
• AST418 - A local trace formula for the Gan-Gross-Prasad conjecture for unitary groups: the archimedean case

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