generalization of titchmarsh's theorem for the dunkl transform in the space $l^p(r)$
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abstract
in this paper, using a generalized dunkl translation operator, we obtain a generalization of titchmarsh's theorem for the dunkl transform for functions satisfying the$(psi,p)$-lipschitz dunkl condition in the space $mathrm{l}_{p,alpha}=mathrm{l}^{p}(mathbb{r},|x|^{2alpha+1}dx)$, where $alpha>-frac{1}{2}$.
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Journal title:
international journal of mathematical modelling and computationsجلد ۵، شماره ۲ (SPRING)، صفحات ۱۲۷-۱۳۱
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