Fourier transforms on a semisimple symmetric space

DOI10.1007/s002220050193zbMath0936.22008OpenAlexW1514346937MaRDI QIDQ1385172

Henrik Schlichtkrull, Erik P. van den Ban

Publication date: 5 May 1999

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

Full work available at URL: https://dspace.library.uu.nl/handle/1874/2542

zbMATH Keywords

Fourier transformEisenstein integralsprincipal seriessemisimple symmetric space

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 (16)

On Orbit Decompositions for Symmetric k-Varieties ⋮ Paley-Wiener spaces for real reductive Lie groups ⋮ The action of intertwining operators on spherical vectors in the minimal principal series of a reductive symmetric space ⋮ 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 ⋮ The spectrum of Kleinian manifolds ⋮ Normalizations of Eisenstein integrals for reductive symmetric spaces ⋮ Paley-Wiener theorems for hyperbolic spaces ⋮ Holomorphic \(H\)-spherical distribution vectors in principal series representations ⋮ ``Generalized Schur orthogonality relations for reductive symmetric spaces ⋮ Partial Poisson transforms on \(SU(n, n)/SL(n, \mathbb{C}) \times \mathbb{R}_+^\ast\) ⋮ 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

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