4.5 Article

Fourier-Bessel series of Lipschitz functions in weighted spaces Lp([0,1],t2α+1dt)

Journal

ANALYSIS AND MATHEMATICAL PHYSICS
Volume 12, Issue 6, Pages -

Publisher

SPRINGER BASEL AG
DOI: 10.1007/s13324-022-00741-2

Keywords

Fourier-Bessel series; Fourier-Bessel transform; Generalized translation operator; Lipschitz class; Titchmarsh theorem

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The aim of this paper is to prove the analogues of classical Titchmarsh theorems on the image under the discrete Fourier-Bessel transform of a set of functions satisfying a generalized Lipschitz condition in the weighted spaces L-p([0,1],t(2 alpha+1)dt), 1 < p <= 2.
Our aim in this paper is to prove the analogues of classical Titchmarsh theorems on the image under the discrete Fourier-Bessel transform of a set of functions satisfying a generalized Lipschitz condition in the weighted spaces L-p([0,1],t(2 alpha+1)dt), 1 < p <= 2.

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