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Lecture Notes in Mathematics

Zeta Integrals, Schwartz Spaces and Local Functional Equations

Authors: Li, Wen-Wei

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  • Offers a clearly written, timely addition to the literature   
  • Provides concrete results complementing the more philosophical ideas of 
  • Sakellaridis Reviews many recent results and reformulates them in a more natural form    
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eBook 32,09 €
price for Spain (gross)
  • ISBN 978-3-030-01288-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 41,59 €
price for Spain (gross)
  • ISBN 978-3-030-01287-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.


About the authors

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.

Reviews

“The book is carefully written; it enables the reader to navigate through highly technical material. The overview of classical results and thorough presentation of the background material make the book accessible to a wider audience of mathematicians.” (Dubravka Ban, Mathematical Reviews, August, 2019)

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 32,09 €
price for Spain (gross)
  • ISBN 978-3-030-01288-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 41,59 €
price for Spain (gross)
  • ISBN 978-3-030-01287-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Zeta Integrals, Schwartz Spaces and Local Functional Equations
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2228
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-01288-5
DOI
10.1007/978-3-030-01288-5
Softcover ISBN
978-3-030-01287-8
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VIII, 141
Number of Illustrations
28 b/w illustrations, 2 illustrations in colour
Topics