Results 1 to 10 of about 121 (110)

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
doaj   +5 more sources

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
doaj   +3 more sources

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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On a q-Dunkl sonine transform

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, Rym Hasna Bettaieb, Ferjani Nouri   +2 more
doaj   +2 more sources

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
doaj   +3 more sources

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
doaj   +1 more source

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
doaj   +1 more source

MULTI-TERM TIME-FRACTIONAL DERIVATIVE HEAT EQUATION FOR ONE-DIMENSIONAL DUNKL OPERATOR

Вестник КазНУ. Серия математика, механика, информатика, 2022
In this paper, we investigate the well-posedness for Cauchy problem for multi-term time-fractional heat equation associated with Dunkl operator. The equation under consideration includes a linear combination of Caputo derivatives in time with decreasing ...
D. Serikbaev
doaj   +1 more source

Dunkl Translations, Dunkl-Type BMO Space, and Riesz Transforms for the Dunkl Transform on $$L^\infty$$

Functional Analysis and Its Applications, 2021
12 pages;accepted for publication in Functional Analysis and its Applications after some minor ...
openaire   +3 more sources

Dunkl transform of $(\beta, \gamma)$-Dunkl Lipschitz functions

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2014
Let \(\alpha\geq-\frac12 ...
Daher, Radouan, Boujeddaine, Mustapha, El Hamma, Mohamed   +2 more
openaire   +2 more sources