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math.CA2016★ 5 cited
Theory of Fundamental Bessel Functions of High Rank
Zhi Qi
In this article, we shall study fundamental Bessel functions for arising from the Voronoï summation formula for any rank and field $\mathbb{F} = \ma…
math.CA2016
On the Fourier Transform of Bessel Functions over Complex Numbers---II: the General Case
Zhi Qi
In this paper, we prove an exponential integral formula for the Fourier transform of Bessel functions over complex numbers, along with a radial exponential integral formula. The fo…
math.CA2016★ 7 cited
On the Fourier Transform of Bessel Functions over Complex Numbers---I: the Spherical Case
Zhi Qi
In this note, we shall prove a formula for the Fourier transform of spherical Bessel functions over complex numbers, viewed as the complex analogue of the classical formulae of Har…