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  1. The Bicomplex Dual Fractional Hankel Transform

    We provide a concrete characterization of the Bergman space of bicomplex-valued bc-meromorphic functions with a strong pole at the origin of the...

    Article 29 January 2024
  2. Mean Value Theorems for Bicomplex Harmonic Functions

    Mean value theorems appear as fundamental tools in the analysis of harmonic functions and elliptic partial differential equations. In the present...

    Abdelkader Abouricha, Aiad El Gourari, Allal Ghanmi in Advances in Applied Clifford Algebras
    Article 21 June 2023
  3. Bicomplex Analogs of Segal–Bargmann and Fractional Fourier Transforms

    We consider and discuss some basic properties of the bicomplex analog of the classical Bargmann space. The explicit expression of the integral...

    Allal Ghanmi, Khalil Zine in Advances in Applied Clifford Algebras
    Article 27 July 2019
  4. Many-Parameter Quaternion Fourier Transforms for Intelligent OFDM Telecommunication System

    In this paper, we aim to investigate the superiority and practicability of many-parameter quaternion Fourier transforms (MPQFT) from the physical...
    Valeriy G. Labunets, Ekaterina Ostheimer in Advances in Artificial Systems for Medicine and Education III
    Conference paper 2020
  5. Prologue

    Abstract
    Chapter 2024
  6. Complements in Linear Algebra

    We first present a number of elementary (and less elementary) exercises on complex numbers. We also discuss briefly the skew field of quaternions and...
    Chapter 2024
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