Zhi Qi
Theory of Fundamental Bessel Functions of High Rank
Theory of Fundamental Bessel Functions of High Rank
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The author studies fundamental Bessel functions for $ mathrm{GL}_n( mathbb F)$ arising from the Voronoi summation formula, focusing on their analytic and asymptotic theory. They prove asymptotic formulae and explicit connection formulae for Bessel differential equations.
Format: Paperback / softback
Length: 267 pages
Publication date: 01 July 2021
Publisher: American Mathematical Society
In this comprehensive article, the author delves into the realm of fundamental Bessel functions for $ mathrm{GL}_n( mathbb F)$ arising from the Voronoi summation formula, applicable to any rank $n$ and field $ mathbb F = mathbb R$ or $ mathbb C$. With a primary focus on developing their analytic and asymptotic theory, the author explores the intricate details of these functions. The central tools and subjects of this study revolve around formal integral representations and Bessel differential equations. Through rigorous proofs, the author establishes asymptotic formulae for fundamental Bessel functions and provides explicit connection formulae for the Bessel differential equations. This intricate exploration showcases the author's expertise in the field, offering valuable insights into the behavior and applications of these mathematical entities.
In this comprehensive article, the author delves into the realm of fundamental Bessel functions for $ mathrm{GL}_n( mathbb F)$ arising from the Voronoi summation formula, applicable to any rank $n$ and field $ mathbb F = mathbb R$ or $ mathbb C$. With a primary focus on developing their analytic and asymptotic theory, the author explores the intricate details of these functions. The central tools and subjects of this study revolve around formal integral representations and Bessel differential equations. Through rigorous proofs, the author establishes asymptotic formulae for fundamental Bessel functions and provides explicit connection formulae for the Bessel differential equations. This intricate exploration showcases the author's expertise in the field, offering valuable insights into the behavior and applications of these mathematical entities.
Weight: 250g
ISBN-13: 9781470443252
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