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Theory of Fundamental Bessel Functions of High Rank
Language: en
Pages: 123
Authors: Zhi Qi
Categories: Mathematics
Type: BOOK - Published: 2021-02-10 - Publisher: American Mathematical Society

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In this article, the author studies fundamental Bessel functions for $mathrm{GL}_n(mathbb F)$ arising from the Voronoí summation formula for any rank $n$ and f
Resolvent, Heat Kernel, and Torsion under Degeneration to Fibered Cusps
Language: en
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Authors: Pierre Albin
Categories: Education
Type: BOOK - Published: 2021-06-21 - Publisher: American Mathematical Soc.

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Manifolds with fibered cusps are a class of complete non-compact Riemannian manifolds including many examples of locally symmetric spaces of rank one. We study
Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary
Language: en
Pages: 119
Authors: Chao Wang
Categories: Education
Type: BOOK - Published: 2021-07-21 - Publisher: American Mathematical Soc.

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In this paper, we prove the local well-posedness of the free boundary problem for the incompressible Euler equations in low regularity Sobolev spaces, in which
Paley-Wiener Theorems for a p-Adic Spherical Variety
Language: en
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Authors: Patrick Delorme
Categories: Education
Type: BOOK - Published: 2021-06-21 - Publisher: American Mathematical Soc.

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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-Chand
Bounded Littlewood Identities
Language: en
Pages: 115
Authors: Eric M. Rains
Categories: Education
Type: BOOK - Published: 2021-07-21 - Publisher: American Mathematical Soc.

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We describe a method, based on the theory of Macdonald–Koornwinder polynomials, for proving bounded Littlewood identities. Our approach provides an alternativ