van den Ban, E. P.; Schlichtkrull, H. A Paley-Wiener theorem for reductive symmetric spaces. (English) Zbl 1132.22010 Ann. Math. (2) 164, No. 3, 879-909 (2006). Summary: 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. Cited in 6 Documents MSC: 22E30 Analysis on real and complex Lie groups 22E46 Semisimple Lie groups and their representations PDF BibTeX XML Cite \textit{E. P. van den Ban} and \textit{H. Schlichtkrull}, Ann. Math. (2) 164, No. 3, 879--909 (2006; Zbl 1132.22010) Full Text: DOI arXiv Euclid