Results 101 to 110 of about 2,417,266 (139)

Generalized Dunkl transform on the line in inverse problems of approximation theory

Чебышевский сборник
The generalized Dunkl harmonic analysis on the line, depending on the parameter 𝑟 ∈ N, is studied. The case 𝑟 = 0 corresponds to the usual Dunkl harmonic analysis. All designs depend on the parameter 𝑟 ⩾ 1.
Valerii Ivanovich Ivanov
semanticscholar   +1 more source

On Some Uncertainty Principles for the Fractional Dunkl Transform

Asian-European Journal of Mathematics
This paper establishes several fundamental uncertainty principles associated with the fractional Dunkl transform (FrDT), a natural generalization of the Dunkl transform.
F. Elgadiri, A. Akhlidj, Abdelghani El Gargati   +2 more
semanticscholar   +1 more source

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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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
openaire   +1 more source

An analog of Titchmarsh’s theorem for the generalized Dunkl transform

Journal of Pseudo-Differential Operators and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daher, Radouan, El Hamma, Mohamed
openaire   +2 more sources

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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The two-sided quaternionic dunkl transform and hardy’s theorem

Rendiconti del Circolo Matematico di Palermo Series 2, 2022
Mohamed Essenhajy, S. Fahlaoui
semanticscholar   +1 more source

A Characterization of the Hardy Space Associated with the Dunkl Transform

Complex Analysis and Operator Theory, 2021
Haihua Wei, Jianquan Liao, Zhongkai Li
semanticscholar   +1 more source

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
openaire   +1 more source

Uncertainty principles for the two-sided quaternionic Dunkl transform

Boletín de la Sociedad Matematica Mexicana
Mohamed Essenhajy, Said Fahlaoui
semanticscholar   +1 more source