an analog of titchmarsh's theorem for the dunkl transform in the space $mathrm{l}_{alpha}^{2}(mathbb{r})$
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abstract
in this paper, using a generalized dunkl translation operator, we obtain an analog of titchmarsh's theorem for the dunkl transform for functions satisfying the lipschitz-dunkl condition in $mathrm{l}_{2,alpha}=mathrm{l}_{alpha}^{2}(mathbb{r})=mathrm{l}^{2}(mathbb{r}, |x|^{2alpha+1}dx), alpha>frac{-1}{2}$.
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Journal title:
international journal of nonlinear analysis and applicationsPublisher: semnan university
ISSN
volume 3
issue 1 2012
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