Results 11 to 20 of about 2,118 (146)
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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Functional Analysis and Its Applications, 2021 12 pages;accepted for publication in Functional Analysis and its Applications after some minor ...
Teng, Wentao
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Riesz transforms for Dunkl transform [PDF]
Annales mathématiques Blaise Pascal, 2012 In this paper we obtain the L p -boundedness of Riesz transforms for the Dunkl transform for all 1<p<∞.
Amri, Bechir, Sifi, Mohamed
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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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Paley–Wiener theorems for the Dunkl transform [PDF]
Transactions of the American Mathematical Society, 2006 We conjecture a geometrical form of the Paley–Wiener theorem for the Dunkl transform and prove three instances thereof, by using a reduction to the one-dimensional even case, shift operators, and a limit transition from Opdam’s results for the graded Hecke algebra, respectively.
de Jeu, Marcel
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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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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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Dunkl Lipschitz functions for the Generalized Fourier-Dunkl Transform in the Space L2
International Journal of Analysis and Applications, 2015 In this paper, using a generalized translation operator, we prove theestimates for the generalized Fourier-Dunkl transform in the space L2 on certainclasses of functions.
R. Daher, S. El Ouadih, M. El Hamma
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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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