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    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)

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    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)

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    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)

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    A Variation of Lp 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)