English

Inverse Fourier Transform for Bi-Complex Variables

Complex Variables 2015-11-05 v1

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

Cite

@article{arxiv.1511.01213,
  title  = {Inverse Fourier Transform for Bi-Complex Variables},
  author = {A. Banerjee and S. K. Datta and Md. A. Hoque},
  journal= {arXiv preprint arXiv:1511.01213},
  year   = {2015}
}

Comments

11 Pages

R2 v1 2026-06-22T11:37:12.211Z