On convergence and divergence of Fourier-Bessel series

Krzysztof Stempak

Abstract

We furnish another proof, based on an idea of Prestini, of a maximal inequality for the partial sum operators of Fourier–Bessel expansions proved by Guadalupe, Pérez, Ruiz and Varona. Divergence results and mean convergence are also discussed.

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Key words

Fourier–Bessel expansions, almost everywhere and norm convergence.

42C10.

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