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arXiv:1607.01098 [math.CA]AbstractReferencesReviewsResources

On the Fourier Transform of Bessel Functions over Complex Numbers - II: the General Case

Zhi Qi

Published 2016-07-05Version 1

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 former will enable us to develop the complex spectral theory of the relative trace formula for the Shimura-Waldspurger correspondence and extend the Waldspurger formula from totally real fields to arbitrary number fields.

Comments: 21 pages
Categories: math.CA
Subjects: 42B10, 33C10
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