Inverse Fourier Transform for Bi-Complex Variables

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 t...

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Published in:arXiv.org 2015-11
Main Authors: Banerjee, A, Datta, S K, Hoque, Md A
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Language:English
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Complex variables
Fourier transforms
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Hoque, Md A
description 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.
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Fourier transforms
title Inverse Fourier Transform for Bi-Complex Variables
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