A Paley-Wiener theorem for reductive symmetric spaces

• 成果类型: Article
• 署名作者: van den Ban, E. P.; Schlichtkrull, H.
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2006.164.879
• 发表日期: 2006
• 页码: 879-909
• 关键词: plancherel decomposition; spherical-functions; FORMULA

摘要

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.