The spherical Fourier transform of rapidly decreasing functions. A simple proof of a characterization due to Harish-Chandra, Helgason, Trombi, and Varadarajan

DOI10.1016/0022-1236(91)90065-DzbMath0732.43006MaRDI QIDQ808375

Jean-Philippe Anker

Publication date: 1991

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

Paley-Wiener theoremreal semisimple Lie grouptopological isomorphismspherical Fourier transform\(L^ p\) Schwartz spacebi-K-invariant functions

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Harmonic analysis and spherical functions (43A90) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

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