Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592974 | Journal of Functional Analysis | 2006 | 24 Pages |
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.
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