Inverse Fourier Transform for Bi-Complex Variables
Authors :
A. Banerjeea,* S.K.Dattab and Md. A. Hoquec
Author Address :
aDepartment of Mathematics, Krishnath College, Berhampore, Murshidabad 742101, India,
bDepartment of Mathematics, University of Kalyani, Kalyani, Nadia 741235,India,
cSreegopal Banerjee College,Bagati, Mogra, Hooghly 712148, India.
*Corresponding author.
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.
DOI :
Article Info :
Received : July 01, 2015; Accepted : March 29, 2016.
