On Estimates for the Generalized Fourier-Dunkl Transform in the Space L2
نویسندگان
چکیده
منابع مشابه
Estimates for the Generalized Fourier-Bessel Transform in the Space L2
Some estimates are proved for the generalized Fourier-Bessel transform in the space (L^2) (alpha,n)-index certain classes of functions characterized by the generalized continuity modulus.
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some estimates are proved for the generalized fourier-bessel transform in the space (l^2) (alpha,n)-index certain classes of functions characterized by the generalized continuity modulus.
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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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In this paper, using a generalized translation operator, we prove theestimates for the generalized Fourier-Bessel transform in the space L2 on certainclasses of functions.
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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.
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ژورنال
عنوان ژورنال: MATEMATIKA
سال: 2018
ISSN: 0127-9602,0127-8274
DOI: 10.11113/matematika.v34.n1.788