Inverse Fourier Transform for Bi-Complex Variables

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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Bibliographic Details
Main Authors: Banerjee, A, Datta, S. K, Hoque, Md. A
Format: Journal Article
Language:English
Published: 04-11-2015
Subjects:
Mathematics - Complex Variables
Online Access:Get full text
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Summary: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.
DOI:10.48550/arxiv.1511.01213