-
حرية الوصول المقاله
1 - An Lp-Lq-version Of Morgan's Theorem For The Generalized Fourier Transform Associated with a Dunkl Type Operator
Loualid El MehdiThe aim of this paper is to prove new quantitative uncertainty principle for the generalized Fourier transform connected with a Dunkl type operator on the real line. More precisely we prove An Lp-Lq-version of Morgan's theorem.The aim of this paper is to prove new quantitative uncertainty principle for the generalized Fourier transform connected with a Dunkl type operator on the real line. More precisely we prove An Lp-Lq-version of Morgan's theorem. تفاصيل المقالة -
حرية الوصول المقاله
2 - GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE DUNKL TRANSFORM IN THE SPACE $L^P(R)$
Elhamma Mohamed Hind Lahlai Radouan DaherIn 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 $\mathrm{L}_{p,\alpha}=\mathrm{L}^ أکثرIn this paper‎, ‎using a generalized Dunkl translation operator‎, ‎we obtain a generalization of Titchmarsh's Theorem for the Dunkl transform for functions satisfying the$(\psi,p)$-Lipschitz Dunkl condition in the space $\mathrm{L}_{p,\alpha}=\mathrm{L}^{p}(\mathbb{R},|x|^{2\alpha+1}dx)$‎, ‎where $\alpha>-\frac{1}{2}$. تفاصيل المقالة