Geodesic
A Paley–Wiener theorem for reductive symmetric spaces
Erik P. van den Ban1 ; Henrik Schlichtkrull2
1 Mathematisch Instituut, Universiteit Utrecht, 3508 Utrecht, Netherlands
2 Matematisk Institut, København Universitet, 2100 København Ø, Denmark
Annals of mathematics, Tome 164 (2006) no. 3, pp. 879-909.

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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.
DOI : 10.4007/annals.2006.164.879

Erik P. van den Ban 1 ; Henrik Schlichtkrull 2

1 Mathematisch Instituut, Universiteit Utrecht, 3508 Utrecht, Netherlands
2 Matematisk Institut, København Universitet, 2100 København Ø, Denmark 
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Erik P. van den Ban; Henrik Schlichtkrull. A Paley–Wiener theorem for reductive symmetric spaces. Annals of mathematics, Tome 164 (2006) no. 3, pp. 879-909. doi : 10.4007/annals.2006.164.879. http://geodesic.mathdoc.fr/articles/10.4007/annals.2006.164.879/

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