Results 1 to 10 of about 728,042 (147)
Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We prove a Calderón reproducing formula for the Dunkl continuous wavelet transform on R. We apply this result to derive new inversion formulas for the dual Dunkl-Sonine integral transform.
Mohamed Ali Mourou
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Inversion Formulas for the Spherical Radon-Dunkl Transform [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The spherical Radon-Dunkl transform R_κ, associated to weight functions invariant under a finite reflection group, is introduced, and some elementary properties are obtained in terms of h-harmonics.
Zhongkai Li, Futao Song
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Inversion of Riesz Potentials for Dunkl Transform [PDF]
Journal of Function Spaces, 2018 The inversion of Riesz potentials for Dunkl transform when G=Z2d is given by using the generalized wavelet transforms. It is also proved that the Riesz potentials Iακ are automorphisms on the Semyanistyi-Lizorkin spaces.
Moyi Liu, Futao Song, Rongxin Wang
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On a q-Dunkl sonine transform [PDF]
Le Matematiche, 2013 In this paper, we introduce and study the q-Dunkl Sonine transform and we establish a Plancherel formula for its dual. Furthermore we give many inversion formulas.
Lassad Bennasr +2 more
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Karpatsʹkì Matematičnì Publìkacìï, 2014 Using a generalized Dunkl translation, we obtain an analog of Theorem 5.2 in Younis' paper [2] for the Dunkl transform for functions satisfying the $(\delta, \gamma)$-Dunkl Lipschitz condition in the space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$.}
M. El Hamma, H. Lahlali, R. Daher
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Multiphysics-Driven Assembly of Biomimetic Vesicles. [PDF]
Adv MaterArtificial extracellular vesicles, derived from cell membranes, are manufactured using a multiphysics‐integrated microfluidic platform that combines nanoknife membrane rupture, herringbone chaotic mixing, and acoustothermal modulation. This standardizable workflow enables the predictable control of vesicle formation and therapeutic loading, while ...
Solodko T +16 more
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Weighted Function Spaces and Dunkl Transform [PDF]
Mediterranean Journal of Mathematics, 2011 We introduce first weighted function spaces on Rd using the Dunkl convolution that we call Besov-Dunkl spaces. We provide characterizations of these spaces by decomposition of functions. Next we obtain in the real line and in radial case on Rd weighted Lp-estimates of the Dunkl transform of a function in terms of an integral modulus of continuity which
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Spectral Analysis of the Dunkl–Bessel Laplacian and Its Applications
Journal of Function SpacesIn this paper, we develop a concrete von Neumann spectral analysis of the Dunkl–Bessel Laplacian −Δκ,αW, considered through its maximal even distributional realization on Lκ,α2,ℝ+d+1.
Abdelilah El Mourni +2 more
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The Fractional Dunkl Laplacian: Definition and Harmonization via the Mellin Transform
Mathematics, 2023 In this paper, we extend the scope of the Tate and Ormerod Lemmas to the Dunkl setting, revealing a profound interconnection that intricately links the Dunkl transform and the Mellin transform.
Fethi Bouzeffour
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Advancing Fractional Riesz Derivatives through Dunkl Operators
Mathematics, 2023 The aim of this work is to introduce a novel concept, Riesz–Dunkl fractional derivatives, within the context of Dunkl-type operators. A particularly noteworthy revelation is that when a specific parameter κ equals zero, the Riesz–Dunkl fractional ...
Fethi Bouzeffour
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