Inverse Fourier transform for bi-complex variables

A. Banerjee; S.K.Datta; Md. A. Hoque

doi:10.26637/mjm402/010

Abstract

In this paper we examine the existence of bicomplexified inverse Fourier transform as an extension of its complexified inverse version within the region of convergence of bicomplex Fourier transform. In this paper we use the idempotent representation of bicomplex-valued functions as projections on the auxiliary complex spaces of the components of bicomplex numbers along two orthogonal,idempotent hyperbolic directions.

Keywords:

Bicomplex numbers, Fourier transform, Inverse Fourier transform

Mathematics Subject Classification:

42A38, 44A10

Authors Imprint References Funding Related Articles Downloads

A. Banerjee Department of Mathematics, Krishnath College, Berhampore, Murshidabad 742101, India. https://orcid.org/0000-0003-3046-3068
S.K.Datta Department of Mathematics, University of Kalyani, Kalyani, Nadia 741235, India.
Md. A. Hoque Sreegopal Banerjee College,Bagati, Mogra, Hooghly 712148, India.

Pages: 263-270
Date Published: 01-04-2016
Vol. 4 No. 02 (2016): Malaya Journal of Matematik (MJM)

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