A Riemann-Lebesgue Lemma for Jacobi expansions
Authors: George Gasper and Walter Trebels
Abstract:
A Lemma of Riemann-Lebesgue type for Fourier-Jacobi coefficients is
derived. Via integral representations of Dirichlet-Mehler type for Jacobi
polynomials its proof directly reduces to the classical Riemann-Lebesgue
Lemma for Fourier coefficients. Other proofs are sketched. Analogous
results are also derived for Laguerre expansions and for Jacobi transforms.
This article to appear in
Contemporary Mathematics.
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