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Integrability of the Fourier–Jacobi transform of functions satisfying Lipschitz and Dini–Lipschitz-type estimates

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ABSTRACT The purpose of this work is to prove analogues of the classical Titchmarsh theorem and Younis' theorem associated with the Fourier–Jacobi transform of a set of functions satisfying a… Click to show full abstract

ABSTRACT The purpose of this work is to prove analogues of the classical Titchmarsh theorem and Younis' theorem associated with the Fourier–Jacobi transform of a set of functions satisfying a generalized Lipschitz condition of a certain order in suitable weighted spaces , . For this purpose, we use a generalized translation operator defined by Flensted-Jensen and Koornwinder.

Keywords: integrability fourier; jacobi transform; functions satisfying; fourier jacobi; transform functions

Journal Title: Integral Transforms and Special Functions
Year Published: 2021

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