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arXiv · 1408.5652

Theory of Bessel Functions of High Rank - I: Fundamental Bessel Functions

Zhi Qi
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Abstract

In this article we introduce a new category of special functions called fundamental Bessel functions arising from the Voronoi summation formula for $\mathrm{GL}_n (\mathbb{R})$. The fundamental Bessel functions of rank one and two are the oscillatory exponential functions $e^{\pm i x}$ and the classical Bessel functions respectively. The main implements and subjects of our study of fundamental Bessel functions are their formal integral representations and Bessel equations.

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Zhi Qi. 2014-08-25. Theory of Bessel Functions of High Rank - I: Fundamental Bessel Functions. https://arxiv.org/abs/1408.5652

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