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Introduction to harmonic analysis on reductive p-adicgroups based on lectures by Harish-Chandra at the Institute for Advanced Study, 1971-73 by Allan J. Silberger

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Published by Princeton University Press in Princeton .
Written in English

Subjects:

  • Groups, Theory of.,
  • Harmonic analysis.

Book details:

Edition Notes

Bibliography, p. 362-364.

Statementby Allan J. Silberger.
SeriesMathematical notes -- 23
ContributionsHarish-Chandra.
Classifications
LC ClassificationsQA171
The Physical Object
Paginationiv, 371 p. ;
Number of Pages371
ID Numbers
Open LibraryOL21623626M
ISBN 100691082464

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  This paper is concerned with representations of split orthogonal and quasi-split unitary groups over a nonarchimedean local field which are not generic, but which support a unique model of a different kind, the generalized Bessel model. The properties of the Bessel models under induction are studied, and an analogue of Rodier's theorem concerning the induction of Whittaker models is proved Cited by: Chapter I. Analysis on profinite groups 3 I Proposition. The ring Zp may be identified with the projective limit of the finite rings /pr. Proof. Any sequence of integers (xn) such that xn+1 ≡ n mod pn is a Cauchy sequence in the ­adic norm, and the equivalence class of the sequence depends only on the xn modulo pn. There is a very concrete way to represent p­adic numbers—every. THE MOD p REPRESENTATION THEORY OF p-ADIC GROUPS IntroductionandMotivation 1. p-adicgroups Thep-adicnumbers. Arationalnumberx2Q maybeuniquelywrittenasx= a b p nwitha, bandnnonzerointegerssuchthatp-ab. Wedefineord p(x) = n,jxj p= p n,j0j p= 0. jj pdefinesanFile Size: KB. In this dissertation, we combine the work of A. Aizenbud and D. Gourevitch on Schwartz functions on Nash manifolds, and the work of F. du Cloux on Schwartz inductions, to develop a toolbox of Schwartz analysis. We then use these tools to study the intertwining operators between parabolic inductions, and study the behavior of intertwining distributions on certain open subsets. Finally we use Author: Xinyu Liu.

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