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Paley-wiener Theorems for a $p$-adic Spherical Variety (Memoirs of the American Mathematical Society)

Paley-wiener Theorems for a $p$-adic Spherical Variety (Memoirs of the American Mathematical Society)

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Paley-wiener Theorems for a $p$-adic Spherical Variety (Memoirs of the American Mathematical Society)

by Delorme, Patrick; Harinck, Pascale; Sakellaridis, Yiannis

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ISBN 10
147044402X
ISBN 13
9781470444020
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About This Item

American Mathematical Society, 2021 8vo (25 cm), V, 102 pp. Laminated wrappers. "Let SpXq be the Schwartz space of compactly supported smooth functions on the p-adic points of a spherical variety X, and let C pXq be the space of Harish-Chandra Schwartz functions. Under assumptions on the spherical variety, which are satisfied when it is symmetric, we prove Paley-Wiener theorems for the two spaces, characterizing them in terms of their spectral transforms. As a corollary, we get relative analogs of the smooth and tempered Bernstein centers -- rings of multipliers for SpXq and C pXq.WhenX “ a reductive group, our theorem for C pXq specializes to the well-known theorem of Harish-Chandra, and our theorem for SpXq corresponds to a first step -- enough to recover the structure of the Bern-stein center -- towards the well-known theorems of Bernstein [Ber] and Heiermann [Hei01]." (publisher's synopsis)

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Bookseller
Leopolis Volodymyr Dmyterko PL (PL)
Bookseller's Inventory #
008522
Title
Paley-wiener Theorems for a $p$-adic Spherical Variety (Memoirs of the American Mathematical Society)
Author
Delorme, Patrick; Harinck, Pascale; Sakellaridis, Yiannis
Format/Binding
Soft cover
Book Condition
New New
Quantity Available
1
Binding
Paperback
ISBN 10
147044402X
ISBN 13
9781470444020
Publisher
American Mathematical Society
Date Published
2021
Bookseller catalogs
Mathematics;

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Leopolis Volodymyr Dmyterko

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About Leopolis Volodymyr Dmyterko

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