A Brief History of Quaternions and of the Theory of Holomorphic Functions of Quaternionic Variables

Abstract

In this paper I will give a brief history of the discovery (Hamilton, 1843) of quaternions. I will address the issue of why a theory of triplets (the original goal of Hamilton) could not be developed. Finally, I will discuss briefly the history of various attempts to define holomorphic functions on quaternionic variables.

Cited by in corpus (4)

• Coherent state Quantization of quaternions
• Regular subspaces of a quaternionic Hilbert space from quaternionic Hermite polynomials and associated coherent states
• Kato S-spectrum in the quaternionic setting
• Decomposable operators, local S-spectrum and S-spectrum in the quaternionic setting