Cauchy representation of fractional Fourier transform for Boehmians

  • Abhishek Singh Amity University Uttar Pradesh Amity Institute of Applied Sciences Department of Mathematics
  • P. K. Banerji J. N. V. University Faculty of Science Department of Mathematics
DOI: https://doi.org/10.5269/bspm.v38i1.34897
Keywords: Cauchy integral, Fourier transform, fractional Fourier transform, distribution spaces, Boehmains

Abstract

Results relating to fractional Fourier transform and their properties in the Lizorkin space are employed in this paper to investigate the Cauchy representation of fractional Fourier transform for integrable Boehmians. An inversion formula for the fractional Fourier transform is addressed. The conclusion remark of the paper spells the initiation for the present investigation.

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Author Biography

P. K. Banerji, J. N. V. University Faculty of Science Department of Mathematics
Jodhpur - 342 005, India
Published
2018-02-19
Issue
Vol 38 No 1 (2020)
Section
Research Articles

Copyright (c) 2018 Boletim da Sociedade Paranaense de Matemática

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