Theory Of Bessel Functions Of High Rank
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Author |
: Zhi Qi |
Publisher |
: American Mathematical Society |
Total Pages |
: 123 |
Release |
: 2021-02-10 |
ISBN-10 |
: 9781470443252 |
ISBN-13 |
: 1470443252 |
Rating |
: 4/5 (52 Downloads) |
Synopsis Theory of Fundamental Bessel Functions of High Rank by : Zhi Qi
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 field $mathbb F = mathbb R$ or $mathbb C$, with focus on developing their analytic and asymptotic theory. The main implements and subjects of this study of fundamental Bessel functions are their formal integral representations and Bessel differential equations. The author proves the asymptotic formulae for fundamental Bessel functions and explicit connection formulae for the Bessel differential equations.
Author |
: George N. Watson |
Publisher |
: |
Total Pages |
: 822 |
Release |
: 1922 |
ISBN-10 |
: UCAL:$B734942 |
ISBN-13 |
: |
Rating |
: 4/5 (42 Downloads) |
Synopsis A Treatise on the Theory of Bessel Functions by : George N. Watson
Author |
: George Neville Watson |
Publisher |
: |
Total Pages |
: 817 |
Release |
: 1922 |
ISBN-10 |
: UOMDLP:acv1415:0001.001 |
ISBN-13 |
: |
Rating |
: 4/5 (01 Downloads) |
Synopsis A Treatise on the Theory of Bessel Functions by : George Neville Watson
Author |
: Hiroshi Iritani |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 92 |
Release |
: 2021-06-21 |
ISBN-10 |
: 9781470443634 |
ISBN-13 |
: 1470443635 |
Rating |
: 4/5 (34 Downloads) |
Synopsis Gromov-Witten Theory of Quotients of Fermat Calabi-Yau Varieties by : Hiroshi Iritani
Gromov-Witten theory started as an attempt to provide a rigorous mathematical foundation for the so-called A-model topological string theory of Calabi-Yau varieties. Even though it can be defined for all the Kähler/symplectic manifolds, the theory on Calabi-Yau varieties remains the most difficult one. In fact, a great deal of techniques were developed for non-Calabi-Yau varieties during the last twenty years. These techniques have only limited bearing on the Calabi-Yau cases. In a certain sense, Calabi-Yau cases are very special too. There are two outstanding problems for the Gromov-Witten theory of Calabi-Yau varieties and they are the focus of our investigation.
Author |
: Gijs Heuts |
Publisher |
: American Mathematical Society |
Total Pages |
: 108 |
Release |
: 2021-11-16 |
ISBN-10 |
: 9781470448936 |
ISBN-13 |
: 1470448939 |
Rating |
: 4/5 (36 Downloads) |
Synopsis Goodwillie Approximations to Higher Categories by : Gijs Heuts
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Author |
: Stuart Margolis |
Publisher |
: American Mathematical Society |
Total Pages |
: 135 |
Release |
: 2021-12-30 |
ISBN-10 |
: 9781470450427 |
ISBN-13 |
: 1470450429 |
Rating |
: 4/5 (27 Downloads) |
Synopsis Cell Complexes, Poset Topology and the Representation Theory of Algebras Arising in Algebraic Combinatorics and Discrete Geometry by : Stuart Margolis
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Author |
: Ulrich Bunke |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 177 |
Release |
: 2021-06-21 |
ISBN-10 |
: 9781470446857 |
ISBN-13 |
: 1470446855 |
Rating |
: 4/5 (57 Downloads) |
Synopsis Differential Function Spectra, the Differential Becker-Gottlieb Transfer, and Applications to Differential Algebraic K-Theory by : Ulrich Bunke
We develop differential algebraic K-theory for rings of integers in number fields and we construct a cycle map from geometrized bundles of modules over such a ring to the differential algebraic K-theory. We also treat some of the foundational aspects of differential cohomology, including differential function spectra and the differential Becker-Gottlieb transfer. We then state a transfer index conjecture about the equality of the Becker-Gottlieb transfer and the analytic transfer defined by Lott. In support of this conjecture, we derive some non-trivial consequences which are provable by independent means.
Author |
: Leonard Gross |
Publisher |
: American Mathematical Society |
Total Pages |
: 111 |
Release |
: 2022-02-02 |
ISBN-10 |
: 9781470450533 |
ISBN-13 |
: 1470450534 |
Rating |
: 4/5 (33 Downloads) |
Synopsis The Yang-Mills Heat Equation with Finite Action in Three Dimensions by : Leonard Gross
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Author |
: Sebastian Throm |
Publisher |
: American Mathematical Society |
Total Pages |
: 106 |
Release |
: 2021-09-24 |
ISBN-10 |
: 9781470447861 |
ISBN-13 |
: 147044786X |
Rating |
: 4/5 (61 Downloads) |
Synopsis Uniqueness of Fat-Tailed Self-Similar Profiles to Smoluchowski?s Coagulation Equation for a Perturbation of the Constant Kernel by : Sebastian Throm
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Author |
: Pierre Albin |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 126 |
Release |
: 2021-06-21 |
ISBN-10 |
: 9781470444228 |
ISBN-13 |
: 1470444224 |
Rating |
: 4/5 (28 Downloads) |
Synopsis Resolvent, Heat Kernel, and Torsion under Degeneration to Fibered Cusps by : Pierre Albin
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 the spectrum of the Hodge Laplacian with coefficients in a flat bundle on a closed manifold undergoing degeneration to a manifold with fibered cusps. We obtain precise asymptotics for the resolvent, the heat kernel, and the determinant of the Laplacian. Using these asymptotics we obtain a topological description of the analytic torsion on a manifold with fibered cusps in terms of the R-torsion of the underlying manifold with boundary.