Results 81 to 90 of about 2,417,266 (139)

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
openaire   +2 more sources

Discrete Jacobi–Dunkl Transform and Approximation Theorems

Mediterranean Journal of Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tyr, Othman, Daher, Radouan
openaire   +2 more sources

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.
Hatem Mejjaoli
exaly   +2 more sources

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.
exaly   +2 more sources

Fractional Jacobi-Dunkl transform: properties and application

Fractional Calculus and Applied Analysis, 2022
Ahmed Saoudi
exaly   +2 more sources

Hardy Type Theorems for Linear Canonical Dunkl Transform

Complex Analysis and Operator Theory
Ahmed Saoudi
exaly   +2 more sources

Weyl Transforms Associated with Dunkl Wavelet Transform

Complex Analysis and Operator Theory, 2023
In this paper, the authors define Weyl transforms using the admissible wavelet associated with the Dunkl transform, and provide several inequalities using the Dunkl wavelet transform. They mainly prove that the Weyl transform \(W_\rho\) is bounded and compact for \(p \in [1, 2]\), and unbounded for \(p > 2\).
Prasad, Akhilesh, Verma, Randhir Kumar
openaire   +1 more source

The Dunkl-Hausdorff operators and the Dunkl continuous wavelets transform

Journal of Pseudo-Differential Operators and Applications, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Radouan Daher, Faouaz Saadi
openaire   +1 more source

Restriction theorem for the Fourier–Dunkl transform I: cone surface

Journal of Pseudo-Differential Operators and Applications, 2022
In this article, we define the Fourier–Dunkl transform, which generalizes the Fourier transform. We prove Strichartz’s restriction theorem for the Fourier–Dunkl transform for a cone-hyper-surface and its generalisation to the family of orthonormal ...
P. Senapati, Pradeep Boggarapu, Shyam Swarup Mondal, H. Mejjaoli   +3 more
semanticscholar   +1 more source

On Some Theorems of the Dunkl—Lipschitz Class for the Dunkl Transform

Lobachevskii Journal of Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
El Hamma, Mohamed, Daher, Radouan
openaire   +2 more sources