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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Zeta Integrals, Schwartz Spaces and Local Functional Equations

Zeta Integrals, Schwartz Spaces and Local Functional Equations

Li, Wen-Wei

Paperback

Series: Lecture Notes in Mathematics, Book 2228

General Mathematics

ISBN10: 3030012875
ISBN13: 9783030012878
Publisher: Springer Nature
Published: Nov 3 2018
Pages: 141
Weight: 0.49
Height: 0.33 Width: 6.14 Depth: 9.21
Language: English

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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