The connection between Clifford and complex analysis in several variables
Speaker:Prof. Brian Jefferies
University of New South Wales, Sydney, Australia
Date & Time:13 Jun 2008 (Friday) 17:00 - 18:30
Venue:NG05

Abstract

Clifford analysis is a higher dimensional analogue of complex analysis in one variable. Regular functions have values in a finite dimensional Clifford algebra and lie in the kernel of the Dirac operator instead of the Cauchy-Riemann operator.

Clifford analysis has a better integral representation formula than the many available in several variable complex analysis. This talk is about how Clifford regular functions defined on a subset of $R^{n+1}$ can be associated with holomorphic functions in a corresponding domain in $C^n$. The correspondence arises from application to harmonic analysis and irregular boundary value problems.