Search Results - Springer

Article

On the fractional Opdam–Cherednik transform

In the present paper, we study a new harmonic analysis in the setting of the Opdam–Cherednik. We establish the fractional Opdam–Cherednik transform in order to generalize the classical fractional Fourier trans...

Fida Bahba, Ahmed Saoudi in The Journal of Analysis (2024)

Article

Hardy Type Theorems for Linear Canonical Dunkl Transform

In this paper, we establish an analogue of Hardy’s theorems for the linear canonical Dunkl transform and fractional Dunkl transform, which generalizes a large class of a family of integral transforms. As appli...

Ahmed Saoudi in Complex Analysis and Operator Theory (2024)

Article

Calderón type reproducing formula for the Weinstein–Stockwell transform

In this paper, we consider the Weinstein operator \(\Delta _{W}^{d,\alpha }\) Δ ...

Hassen Ben Mohamed, Ahmed Saoudi in Rendiconti del Circolo Matematico di Palermo Series 2 (2024)

Article

Fractional Jacobi-Dunkl transform: properties and application

The aim of this paper is to develop a novel harmonic analysis in the Jacobi-Dunkl setting. We propose the fractional Jacobi-Dunkl transform in order to generalize the fractional Fourier transform. Firstly, we ...

Iness Haouala, Ahmed Saoudi in Fractional Calculus and Applied Analysis (2022)

Article

Time-Scale Localization Operators in the Weinstein Setting

Daubechies first used localization operators as a mathematical tool to localized a signal in the time frequency plane. They have been a subject of research in many domains ever since. In this paper, we introdu...

Ahmed Saoudi in Results in Mathematics (2022)

Article

A Variation of L^p Uncertainty Principles in Weinstein Setting

The Weinstein operator has several applications in pure and applied Mathematics especially in Fluid Mechanics and satisfies some uncertainty principles similar to the Euclidean Fourier transform. The aim of th...

Ahmed Saoudi in Indian Journal of Pure and Applied Mathematics (2020)

Article

Boundedness and compactness of localization operators for Weinstein–Wigner transform

In this paper, we define and study the notion of localization operators associated with the Weinstein–Wigner transform. We prove that they are in the trace class \(S_1\)S1 and give a trace formula for them. At l...

Ahmed Saoudi, Bochra Nefzi in Journal of Pseudo-Differential Operators and Applications (2020)

Article

On the Weinstein–Wigner transform and Weinstein–Weyl transform

In this paper, we define and study the Weinstein–Wigner transform and we prove its inversion formula. Next, we introduce and study the Weinstein–Weyl transform \({\mathcal {W}}_\sigma \)Wσ with symbol \(\sigma \)

Ahmed Saoudi in Journal of Pseudo-Differential Operators and Applications (2020)

Book and Conference Proceedings