Introductory Clifford Analysis
John Ryan, (University of Arkansas)
TL;DR
This paper provides an introductory overview of Clifford analysis, connecting it to harmonic, Fourier analysis, and conformally flat manifolds, aimed at beginners and researchers new to the field.
Contribution
It offers a comprehensive introduction to Clifford analysis, highlighting its fundamental concepts and links to other areas of mathematics.
Findings
Clarifies basic concepts of Clifford analysis
Establishes connections with harmonic and Fourier analysis
Explores applications to conformally flat manifolds
Abstract
This paper is an elaboration of an introductory talk given by the author at a workshop on Clifford algebras at Tennessee Technical University, in May 2002. We give an introduction to the basic concepts of Clifford analysis, including links to harmonic analysis, Fourier analysis and conformally flat manifolds.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Mathematical Analysis and Transform Methods · Advanced Algebra and Geometry