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Quaternion offset linear canonical transform in one-dimensional setting

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Abstract

In this paper, we introduce quaternion offset linear canonical transform of integrable and square integrable functions. Moreover, we show that the proposed transform satisfies all the respective properties like inversion formula, linearity, Moyal’s formula, product theorem and the convolution theorem.

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Acknowledgements

This work is supported by the Research Grant (No. JKST &IC/SRE/J/357-60) provided by JKSTIC, U. T. of Jammu and Kashmir, 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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Cite this article

Bhat, M.Y., Dar, A.H. Quaternion offset linear canonical transform in one-dimensional setting. J Anal 31, 2613–2622 (2023). https://doi.org/10.1007/s41478-023-00585-4

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  • DOI: https://doi.org/10.1007/s41478-023-00585-4

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