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Amer Mathematical Society, 2021. Paperback. New. 100 pages. 10.04x7.05x0.39 inches.
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Paley-Wiener Theorems for a P-Adic Spherical Variety Other -
by Patrick Delorme; Text by (Art/Photo Books) Pascale Harinck; Text by (Art/Photo Books) Yiannis Sakellaridis
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- Title Paley-Wiener Theorems for a P-Adic Spherical Variety
- Author Patrick Delorme; Text by (Art/Photo Books) Pascale Harinck; Text by (Art/Photo Books) Yiannis Sakellaridis
- Binding Other
- Volumes 1
- Language ENG
- Publisher American Mathematical Society
- ISBN 9781470444020 / 147044402X
- Library of Congress subjects P-adic analysis, Fourier analysis
- Library of Congress Catalog Number 2021016993
- Dewey Decimal Code 515.53
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Paley-wiener Theorems for a $p$-adic Spherical Variety
by Delorme, Patrick/ Harinck, Pascale/ Sakellaridis, Yiannis
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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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Description:
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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