Article ID Journal Published Year Pages File Type
4592974 Journal of Functional Analysis 2006 24 Pages PDF
Abstract

We prove a Whittaker–Plancherel inversion formula which gives a Whittaker coefficient of a function on SL(2,R) in terms of certain Bessel coefficients of this function. The Bessel coefficients come from Bessel functions attached to irreducible unitary tempered representations. The Kuznecov transform and Kuznecov inversion formula play a central role in the proof of this Whittaker–Plancherel inversion formula.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory