In this article, the author studies fundamental Bessel functions for $\mathrm{{GL}}_n(\mathbb F)$ arising from the Voronoi 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.

Theory of Fundamental Bessel Functions of High Rank (Memoirs of the American Mathematical Society)

Science & Math

Qi, Zhi

Mathematics

Amer Mathematical Society

Lila loves watching the swallows fly. See how beautiful a bird's-eye view can be.

Lila and the Swallows (Fables and Folktales)

Children's Books

Fairy Tales, Folk Tales & Myths

Cardinal Media

Lila and the Swallows

Little Snails Applauds

Little Snail wishes he could clap like Duck and cheer like Sparrow. Come along as Little Snail shows he can applaud in his own way.

Small water's Eve (the boy go? Parent-child reading. poetic and romantic childhood story)(Chinese Edition)

Jiangsu Children's Publishing House

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Books by Qi, Zhi