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Zeta Integrals, Schwartz Spaces and Local Functional Equations (Paperback, 1st ed. 2018)
Loot Price: R1,399
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Zeta Integrals, Schwartz Spaces and Local Functional Equations (Paperback, 1st ed. 2018)
Series: Lecture Notes in Mathematics, 2228
Expected to ship within 10 - 15 working days
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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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