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A PALEY–WIENER THEOREM FOR DISTRIBUTIONS ON REDUCTIVE SYMMETRIC SPACES

Published online by Cambridge University Press:  28 November 2006

E. P. van den Ban  and
H. Schlichtkrull
E. P. van den Ban
Affiliation:
Mathematisch Instituut, Universiteit Utrecht, PO Box 80010, 3508 TA Utrecht, The Netherlands ([email protected])
H. Schlichtkrull
Affiliation:
Matematisk Institut, Københavns Universitet, Universitetsparken 5, 2100 København Ø, Denmark ([email protected])
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Abstract

Let $X=G/H$ be a reductive symmetric space and $K$ a maximal compact subgroup of $G$. We study Fourier transforms of compactly supported $K$-finite distributions on $X$ and characterize the image of the space of such distributions.

Keywords

harmonic analysisPaley–Wiener theoremFourier transformdistributionsymmetric spacePrimary 22E3043A85
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 6 , Issue 4 , October 2007 , pp. 557 - 577
Copyright
2006 Cambridge University Press

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