The continuous wavelet transform for a Laguerre type operator on the half line

  • Jyoti Saikia North Eastern Regional Institute of Science and Technology
  • C. P. Pandey North Eastern Regional Institute of Science and Technology
  • Sunil Kumar Singh Babasaheb Bhimrao Ambedkar University https://orcid.org/0000-0001-9120-5279

Abstract

In this paper, we consider a Laguerre differential operator  on half line by accomplishing harmonic analysis tools with respect to the operator. We study some definitions and properties of Laguerre continuous wavelet transform. We also explore generalized Laguerre Fourier transform and convolution product on half line associated with the Laguerre differential operator. Also a new continuous wavelet transform associated with Laguerre function is constructed and investigated.

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Author Biographies

Jyoti Saikia, North Eastern Regional Institute of Science and Technology

Department of Mathematics

C. P. Pandey, North Eastern Regional Institute of Science and Technology

Department of Mathematics

Sunil Kumar Singh, Babasaheb Bhimrao Ambedkar University

Department of Mathematics

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Published
2024-05-20
Section
Articles

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