titchmarsh theorem for jacobi dini-lipshitz functions
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abstract
our aim in this paper is to prove an analog of younis's theorem on the image under the jacobi transform of a class functions satisfying a generalized dini-lipschitz condition in the space $mathrm{l}_{(alpha,beta)}^{p}(mathbb{r}^{+})$, $(1< pleq 2)$. it is a version of titchmarsh's theorem on the description of the image under the fourier transform of a class of functions satisfying the dini-lipschitz condition in $l^{p}$.
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Journal title:
international journal of nonlinear analysis and applicationsPublisher: semnan university
ISSN
volume 7
issue 1 2015
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