Results 111 to 120 of about 2,118 (146)

Miyachi's theorem for the Dunkl transform

Integral Transforms and Special Functions, 2011
The Dunkl transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization of Miyachi's theorem is obtained for the Dunkl transform.
F. Chouchene, R. Daher, T. Kawazoe, H. Mejjaoli   +3 more
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Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators

Integral Transforms and Special Functions, 2002
We use the Dunkl intertwining operator V_k and its dual ^tV_k to prove a Paley-Wiener theorem for the Dunkl transform, for functions and distributions, and geometric forms of this theorem. These operators permit also to define and study Dunkl translation operators and Dunkl convolution product.
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GENERALIZED FOURIER-DUNKL TRANSFORM OF (; )-GENERALIZED DUNKL LIPSCHITZ FUNCTIONS

2014
Using a generalized translation operator, we obtain an analog of Younis Theorem 5.2 in [5] for the generalized Fourier-Dunkl transform for func- tions satisfying the (; )-generalized Dunkl Lipschitz condition in the space L2 ;n.
DAHER, R., OUADIH, S. El, HAMMA, M. El
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Dunkl transforms and Dunkl convolutions on functions and distributions with restricted growth

Mathematische Nachrichten, 2009
AbstractIn this paper we investigate Dunkl transforms and Dunkl convolutions on R in some spaces of functions and distributions with exponential growth introduced by Hasumi [12] (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Betancor, Jorge J., Molina, Sandra M., Rodríguez-Mesa, Lourdes   +2 more
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Multiplier Theorems for the Dunkl Transform

2014
For a family of weight functions invariant under a finite reflection group, we prove a transference theorem between the L p multiplier of h-harmonic expansions on \(\mathbb{S}^{d}\) and that of the Dunkl transform. This theorem is stated together with some related definitions and notations in Section 7.1.
Feng Dai, Yuan Xu
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Multivariate spectral multipliers for the Dunkl transform and the Dunkl harmonic oscillator

Forum Mathematicum, 2013
Abstract In the case G = ℤ 2 d
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
exaly  

Hardy Type Theorems for Linear Canonical Dunkl Transform

Complex Analysis and Operator Theory
The linear canonical transform (LCT) is an integral transform characterized by a matrix \(M=(a,b;c,d)\in SL_2(\mathbb{R})\) (see [\textit{K. B. Wolf}, J. Math. Phys. 15, 1295--1301 (1974; Zbl 0292.44005)]) and the Dunkl transform depends on a scalar parameter \(\mu\) (see [\textit{C. F. Dunkl}, Can. J. Math. 43, No. 6, 1213--1227 (1991; Zbl 0827.33010)]
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Dunkl Transform

2014
Feng Dai, Yuan Xu
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On the weighted integrability of q-Dunkl transforms

The Ramanujan Journal
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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