Zeta integrals, Schwartz spaces and local functional equations [e-book] / Wen-Wei Li

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Autore:	Li, Wen-Wei
Titolo:	Zeta integrals, Schwartz spaces and local functional equations [e-book] / Wen-Wei Li
Descrizione fisica:	1 online resource (viii, 141 pages) : illustrations (some color)
Soggetto topico:	Functional equations
	Functions, Zeta
	Schwartz spaces
Classificazione:	AMS 22E50
Nota di bibliografia:	Includes bibliographical references and index
Nota di contenuto:	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
Sommario/riassunto:	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
ISBN:	9783030012885
Formato:	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione:	Inglese
Record Nr.:	991003632139707536
Lo trovi qui:	Univ. del Salento
Localizzazioni e accesso elettronico	http://link.springer.com/10.1007/978-3-030-01288-5
Opac:	Controlla la disponibilità qui

Serie: Lecture notes in mathematics, 0075-8434 ; 2228