Abstract
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 application, we derive Hardy type theorems for fractional Hankel type transform, one dimension Dunkl Fresnel transform, linear canonical transform and fractional Fourier transform.
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The author is highly thankful to the anonymous referees for their valuable comments and suggestions which improved the article.
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The author extend his appreciation to the Deanship of Scientific Research at Northern Border University, Arar, KSA for funding this research work through the project number “NBU-FFR-2023-0036”.
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Saoudi, A. Hardy Type Theorems for Linear Canonical Dunkl Transform. Complex Anal. Oper. Theory 18, 57 (2024). https://doi.org/10.1007/s11785-023-01478-x
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DOI: https://doi.org/10.1007/s11785-023-01478-x