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Linear canonical Hankel domain based Stockwell transform and associated Heisenberg’s uncertainty principle

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Abstract

Linear canonical Hankel domain based Stockwell transform (LCHST) is the generalization of Hankel-Stockwell transform. In this paper, we propose the definition of LCHST and then obtain the classical results associated with the proposed transform. The crux of the paper lies in proving a sharp version of Heisenberg’s uncertainty principle for LCHST.

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Acknowledgements

This work is supported by the Research Grant (No. JKST &IC/SRE/J/357-60) provided by JKST &IC, UT of J& K, India.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Islamic University of Science and Technology, Kashmir, India

    M. Younus Bhat & Aamir H. Dar

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  1. M. Younus Bhat
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  2. Aamir H. Dar
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Both the authors equally contributed towards this work.

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Correspondence to M. Younus Bhat.

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Communicated by S. Ponnusamy.

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Bhat, M.Y., Dar, A.H. Linear canonical Hankel domain based Stockwell transform and associated Heisenberg’s uncertainty principle. J Anal 31, 2985–3002 (2023). https://doi.org/10.1007/s41478-023-00624-0

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