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Ultradistributional Wavelet Transform for the Convolutors of \(\mathcal {S}_{\omega }\)

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Advances in Mathematical Modelling, Applied Analysis and Computation (ICMMAAC 2023)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 953))

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Abstract

In this paper, we study the multiplicators and convolutors on the ultradistribution space \(\mathcal {S}_{\omega }\). Further we obtain a topological isomorphism for the spaces through the wavelet transform.

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Acknowledgement

This work is Partially supported by NBHM (DAE), Government of India, through sanction No. 2011/7/2022/NBHM(R.P)/RD/10010, sanctioned to the first author (AS).

Author information

Authors and Affiliations

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

    Abhishek Singh & Nikhila Raghuthaman

  2. Babasaheb Bhimrao Ambedkar University, Lucknow, 226025, India

    Sunil Kumar Singh

Authors
  1. Abhishek Singh
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  2. Nikhila Raghuthaman
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  3. Sunil Kumar Singh
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Corresponding author

Correspondence to Nikhila Raghuthaman .

Editor information

Editors and Affiliations

  1. Department of Mathematics, JECRC University, Jaipur, Rajasthan, India

    Jagdev Singh

  2. Department of Mathematics, University of Memphis, Memphis, TN, USA

    George A. Anastassiou

  3. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

    Dumitru Baleanu

  4. Department of Mathematics, University of Rajasthan, Jaipur, Rajasthan, India

    Devendra Kumar

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Singh, A., Raghuthaman, N., Singh, S.K. (2024). Ultradistributional Wavelet Transform for the Convolutors of \(\mathcal {S}_{\omega }\). In: Singh, J., Anastassiou, G.A., Baleanu, D., Kumar, D. (eds) Advances in Mathematical Modelling, Applied Analysis and Computation . ICMMAAC 2023. Lecture Notes in Networks and Systems, vol 953. Springer, Cham. https://doi.org/10.1007/978-3-031-56304-1_15

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  • DOI: https://doi.org/10.1007/978-3-031-56304-1_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-56303-4

  • Online ISBN: 978-3-031-56304-1

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