Fourier transform on the Schwartz space of a reductive symmetric space

DOI10.1007/s002220050258zbMath0914.43007OpenAlexW1986403996MaRDI QIDQ1273303

Jacques Carmona, Patrick Delorme

Publication date: 9 March 1999

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002220050258

zbMATH Keywords

Fourier transformPlancherel formulaharmonic analysissymmetric spaceirreducible representationsreductive Lie groupEisenstein integral

Mathematics Subject Classification ID

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

Related Items (12)

Paley-Wiener spaces for real reductive Lie groups ⋮ Schwartz space for the hypergeometric Fourier transform. (With an appendix by Mustapha Tinfou) ⋮ Truncation for reductive symmetric spaces ⋮ On the spectral theorem of Langlands ⋮ Embeddings of discrete series for a reductive symmetric space ⋮ Filtration of certain spaces of functions on a reductive symmetric space ⋮ ``Generalized Schur orthogonality relations for reductive symmetric spaces ⋮ Cuspidal integrals for \(\mathrm{SL}(3) / K_\epsilon\) ⋮ Fourier inversion on a reductive symmetric space ⋮ The Plancherel decomposition for a reductive symmetric space. I: Spherical functions ⋮ The Plancherel decomposition for a reductive symmetric space. II: Representation theory ⋮ Fonctions \(\mathbb {D}\)(G/H)-finies sur un espace symétrique réductif. (\(\mathbb {D}\)(G/H)-finite functions on a reductive symmetric space)

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