Results 121 to 130 of about 728,042 (147)

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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Discrete Jacobi–Dunkl Transform and Approximation Theorems

Mediterranean Journal of Mathematics, 2022
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Tyr, Othman, Daher, Radouan
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On the Linear Canonical Jacobi–Dunkl Transform

Mediterranean Journal of Mathematics
In the recent past, the linear canonical transform has been extensively examined in various contexts by substituting the conventional Fourier transform with a generalized counterpart, such as the linear canonical Hankel transform, linear canonical Fourier-Bessel transform, linear canonical Dunkl transform and linear canonical Stockwell transform.
Iness Haouala, Ahmed Saoudi
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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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On Schrödinger Oscillatory Integrals Associated with the Dunkl Transform

Journal of Fourier Analysis and Applications, 2018
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Li, Zhongkai, Zhang, Xiaoliang
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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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On the weighted integrability of q-Dunkl transforms

The Ramanujan Journal
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Dunkl Transform

2014
Feng Dai, Yuan Xu
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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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