Open AccessCauchy representation of fractional Fourier transform for Boehmians
Author(s) -
Abhishek Singh,
P. K. Banerji
Publication year - 2018
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.v38i1.34897
Subject(s) - fractional fourier transform , fourier transform , mathematics , cauchy distribution , inversion (geology) , discrete fourier transform (general) , representation (politics) , fourier transform on finite groups , mathematical analysis , fourier analysis , geology , political science , law , structural basin , politics , paleontology
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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