On the Fourier Transform of Bessel Functions over Complex Numbers---I: the Spherical Case

Abstract

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 Hardy and Weber. The formula has strong representation theoretic motivations in the Waldspurger correspondence over the complex field.

arXiv comment7 pages

Cited by in corpus (1)

• On the Fourier transform of regularized Bessel functions on complex numbers and Beyond Endoscopy over number fields