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.
Erik P. van den Ban 1 ; Henrik Schlichtkrull 2
@article{10_4007_annals_2006_164_879,
author = {Erik P. van den Ban and Henrik Schlichtkrull},
title = {A {Paley{\textendash}Wiener} theorem for reductive symmetric spaces},
journal = {Annals of mathematics},
pages = {879--909},
year = {2006},
volume = {164},
number = {3},
doi = {10.4007/annals.2006.164.879},
mrnumber = {2259247},
zbl = {1132.22010},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2006.164.879/}
}
TY - JOUR AU - Erik P. van den Ban AU - Henrik Schlichtkrull TI - A Paley–Wiener theorem for reductive symmetric spaces JO - Annals of mathematics PY - 2006 SP - 879 EP - 909 VL - 164 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4007/annals.2006.164.879/ DO - 10.4007/annals.2006.164.879 LA - en ID - 10_4007_annals_2006_164_879 ER -
%0 Journal Article %A Erik P. van den Ban %A Henrik Schlichtkrull %T A Paley–Wiener theorem for reductive symmetric spaces %J Annals of mathematics %D 2006 %P 879-909 %V 164 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4007/annals.2006.164.879/ %R 10.4007/annals.2006.164.879 %G en %F 10_4007_annals_2006_164_879
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
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