Zeta Integrals, Schwartz Spaces And Local Functional Equations - Li Wen-Wei | Libro Springer 11/2018 - HOEPLI.it


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li wen-wei - zeta integrals, schwartz spaces and local functional equations

Zeta Integrals, Schwartz Spaces and Local Functional Equations




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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 11/2018
Edizione: 1st ed. 2018





Trama

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.






Sommario

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.




Autore

Wen-Wei Li received his Ph.D in Mathematics from Université Paris-Diderot in 2011. He is currently a Professor of the Beijing International Center of Mathematical Research, Peking University. His research is mainly focused on the theory of representation and automorphic forms.







Altre Informazioni

ISBN:

9783030012878

Condizione: Nuovo
Collana: Lecture Notes in Mathematics
Dimensioni: 235 x 155 mm Ø 244 gr
Formato: Brossura
Illustration Notes:28 Illustrations, black and white
Pagine Arabe: 141
Pagine Romane: viii






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