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Offset Linear Canonical Stockwell Transform for Boehmians

Author

Listed:
  • Navneet Kaur

    (Department of Mathematics, IIT Patna, Patna 801106, Bihta, India)

  • Bivek Gupta

    (School of Ethics, Governance, Culture and Social Systems, Chinmaya Vishwa Vidyapeeth, Ernakulam 682313, Kerala, India)

  • Amit K. Verma

    (Department of Mathematics, IIT Patna, Patna 801106, Bihta, India)

  • Ravi P. Agarwal

    (Department of Mathematics and Systems Engineering, Florida Institute of Technology, Melbourne, FL 32901, USA)

Abstract

In this article, we construct a Boehmian space using the convolution theorem that contains the offset linear canonical Stockwell transforms (OLCST) of all square-integrable Boehmians. It is also proven that the extended OLCST on square-integrable Boehmians is consistent with the traditional OLCST. Furthermore, it is one-to-one, linear, and continuous with respect to Δ -convergence as well as Δ -convergence. Subsequently, we introduce a discrete variant of the OLCST. Ultimately, we broaden the application of the presented work by examining the OLCST within the domain of almost periodic functions.

Suggested Citation

  • Navneet Kaur & Bivek Gupta & Amit K. Verma & Ravi P. Agarwal, 2024. "Offset Linear Canonical Stockwell Transform for Boehmians," Mathematics, MDPI, vol. 12(15), pages 1-18, July.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:15:p:2379-:d:1446538
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    References listed on IDEAS

    as
    1. Dennis Nemzer, 2000. "A uniqueness theorem for Boehmians of analytic type," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 24, pages 1-4, January.
    2. R. Roopkumar, 2003. "Wavelet analysis on a Boehmian space," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-10, January.
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