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Paley–Wiener–Schwartz Type Theorem for Ultradistributional Wavelet Transform

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Abstract

In this paper, we discuss the wavelet transform on the space of ultradistributions of compact support. The Paley–Wiener–Schwartz type theorem for the wavelet transform of both test function and ultradistribution are obtained.

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Acknowledgements

This work is supported by Major Research Project by SERB-DST, Govt. of India, through sanction No. ECR/2017/000394.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Banasthali Vidyapith, Banasthali, India

    Abhishek Singh, Nikhila Raghuthaman & Aparna Rawat

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  1. Abhishek Singh
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  2. Nikhila Raghuthaman
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  3. Aparna Rawat
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Correspondence to Abhishek Singh.

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Communicated by Mamadou Mboup.

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This article is part of the topical collection “Infinite-dimensional Analysis and Non-commutative Theory” edited by Marek Bozejko, Palle Jorgensen and Yuri Kondratiev.

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Singh, A., Raghuthaman, N. & Rawat, A. Paley–Wiener–Schwartz Type Theorem for Ultradistributional Wavelet Transform. Complex Anal. Oper. Theory 15, 75 (2021). https://doi.org/10.1007/s11785-021-01124-4

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