Uniform temperedness of Whittaker integrals for a real reductive group

Autor:	Ban, E. P. van den
Rok vydání:	2023
Předmět:	Mathematics - Representation Theory primary 22E46 secondary 43A30 43A85
Druh dokumentu:	Working Paper
Popis:	We study Whittaker vectors (and Jacquet integrals) in the generalized principal series for a real reductive group. A functional equation for them is obtained. This allows to establish uniform estimates for their holomorphic extensions with respect to the continuous induction parameter. Finally, we link the Whittaker vectors to Harish-Chandra's Whittaker integrals for which we then prove uniform tempered estimates. This allows us to establish rapid decay for a class of Fourier transforms on the space of Whittaker Schwartz functions. Comment: 132 pages, In Section 18 (appendix) the argumentation has been clarified by giving more details and more precise references
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2304.11044 Zobrazit plný text záznamu View this record from Arxiv