How Many Essentially Different Functional Theories Exist?

Abstract

The question in the title is ambiguous. At least the understanding of words essentially different and function theory should be clarified. We discuss approaches to do that. We also present a new framework for analytic function theories based on group representations.

Historic submission, LaTeX2e, 9 pages. arXiv admin note: substantial text overlap with arXiv:math/0204018

References in corpus (2)

• Connection between Different Function Theories in Clifford Analysis
• Relative Convolutions. I. Properties and Applications

Cited by in corpus (5)

• Erlangen Program at Large-2.5: Induced Representations and Hypercomplex Numbers
• Erlangen Program at Large-1: Geometry of Invariants
• Elliptic, Parabolic and Hyperbolic Analytic Function Theory--0: Geometry of Domains
• Nilpotent Lie Groups in Clifford Analysis: Five Directions for Research
• Towards to Analysis in ${\mathbb{R}}^{pq}$