A Riemann--Lebesgue lemma for Jacobi expansions

Details A Riemann--Lebesgue lemma for Jacobi expansions A Riemann--Lebesgue lemma for Jacobi expansions

1995-04-12

arxiv.org/abs/math/9504215v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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.

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