A Paley-Wiener theorem for reductive symmetric spaces

Details A Paley-Wiener theorem for reductive symmetric spaces A Paley-Wiener theorem for reductive symmetric spaces

2003-02-19

arxiv.org/abs/math/0302232v2

Ann. of Math. (2) 164 (2006), no. 3, 879--909

Mathematics

Representation Theory

31 pages, published version

Scientific paper

Let X = G/H be a reductive symmetric space and K a maximal compact subgroup
of G. The image under the Fourier transform of the space of K-finite compactly
supported smooth functions on X is characterized.

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