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＜電子ブック＞
Zeta Integrals, Schwartz Spaces and Local Functional Equations / by Wen-Wei Li
(Lecture Notes in Mathematics. ISSN:16179692 ; 2228)

版	1st ed. 2018.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2018
本文言語	英語
大きさ	VIII, 141 p. 30 illus., 2 illus. in color : online resource
著者標目	*Li, Wen-Wei author SpringerLink (Online service)
件　名	LCSH:Topological groups LCSH:Lie groups LCSH:Harmonic analysis LCSH:Number theory FREE:Topological Groups and Lie Groups FREE:Abstract Harmonic Analysis FREE:Number Theory
一般注記	Introduction -- Geometric Background -- Analytic Background -- Schwartz Spaces and Zeta Integrals -- Convergence of Some Zeta Integrals -- Prehomogeneous Vector Spaces -- The Doubling Method -- Speculation on the Global Integrals This book focuses on a conjectural class of zeta integrals which arose from a program born in the work of Braverman and Kazhdan around the year 2000, the eventual goal being to prove the analytic continuation and functional equation of automorphic L-functions. Developing a general framework that could accommodate Schwartz spaces and the corresponding zeta integrals, the author establishes a formalism, states desiderata and conjectures, draws implications from these assumptions, and shows how known examples fit into this framework, supporting Sakellaridis' vision of the subject. The collected results, both old and new, and the included extensive bibliography, will be valuable to anyone who wishes to understand this program, and to those who are already working on it and want to overcome certain frequently occurring technical difficulties HTTP:URL=https://doi.org/10.1007/978-3-030-01288-5

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