Paley-Wiener spaces for real reductive Lie groups

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We show that Arthur's Paley-Wiener theorem for K-finite compactly supported smooth functions on a real reductive Lie group G of the Harish-Chandra class can be deduced from the Paley-Wiener theorem we established in the more general setting of a reductive symmetric space. In addition, we formulate an extension of Arthur's theorem to K-finite compactly supported generalized functions (distributions) on G and show that this result follows from the analogous result for reductive symmetric spaces as well.
Latex2e, 28 pages, change of definition of space P^* on p. 17 + minor corrections

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Representation Theory, 22E30; 22E46

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http://salesiana.dossiersoluciones.com/handle/123456789/100942

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411363
 http://arxiv.org/abs/math/0411363

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arXiv