an analog of titchmarsh's theorem for the bessel transform in the space $mathrm{l}_{p,alpha}(mathbb{r}_{+})$

نویسندگان

mohamed el hamma

r. daher

m. boujeddaine

چکیده

using a bessel generalized translation, we obtain an analog of titchmarsh's theorem for the bessel transform for functions satisfying the lipschitz condition in the space $mathrm{l}_{p,alpha}(mathbb{r}_{+})$, where $alpha>-frac{1}{2}$ and $1

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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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عنوان ژورنال:
international journal of nonlinear analysis and applications

ناشر: semnan university

ISSN

دوره 7

شماره 1 2015

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