Theory of Fundamental Bessel Functions of High Rank

Theory of Fundamental Bessel Functions of High Rank
Author :
Publisher : American Mathematical Society
Total Pages : 123
Release :
ISBN-10 : 9781470443252
ISBN-13 : 1470443252
Rating : 4/5 (52 Downloads)

Book Synopsis Theory of Fundamental Bessel Functions of High Rank by : Zhi Qi

Download or read book Theory of Fundamental Bessel Functions of High Rank written by Zhi Qi and published by American Mathematical Society. This book was released on 2021-02-10 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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