Fourier inversion on a reductive symmetric space

DOI10.1007/BF02392823zbMath0993.22006OpenAlexW2149754515MaRDI QIDQ1588907

Henrik Schlichtkrull, Erik P. van den Ban

Publication date: 6 December 2000

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

Full work available at URL: https://doi.org/10.1007/bf02392823

zbMATH Keywords

Eisenstein seriesreductive symmetric spaceFourier transformationPlancherel theoremresidue operators

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (12)

Support properties and Holmgren's uniqueness theorem for differential operators with hyperplane singularities ⋮ Paley-Wiener spaces for real reductive Lie groups ⋮ Horospherical transform on real symmetric varieties: kernel and cokernel ⋮ Cusp forms for reductive symmetric spaces of split rank one ⋮ Unnamed Item ⋮ Radon transformation on reductive symmetric spaces: support theorems ⋮ \(K\)-invariant cusp forms for reductive symmetric spaces of split rank one ⋮ Normalizations of Eisenstein integrals for reductive symmetric spaces ⋮ Support of asymptotics and growth of eigenfunctions on a semisimple symmetric space ⋮ 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

Cites Work

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