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Zeta Integrals, Schwartz Spaces and Local Functional Equations
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Zeta Integrals, Schwartz Spaces and Local Functional Equations

1st ed. 2018

Book Details

Format Paperback / Softback
ISBN-10 3030012875
ISBN-13 9783030012878
Edition 1st ed. 2018
Publisher Springer Nature Switzerland AG
Imprint Springer Nature Switzerland AG
Country of Manufacture GB
Country of Publication GB
Publication Date Nov 3rd, 2018
Print length 141 Pages
Weight 252 grams
Dimensions 15.60 x 23.40 x 1.60 cms
Ksh 7,200.00
Werezi Extended Catalogue 0 in stock

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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.

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