Title: The connection between Clifford analysis and operator theory
Speaker: Prof. Brian Jefferies, University of New South Wales, Sydney
Date: 30 November 2009
Time: 4:00 p.m.
Venue: Lecture Hall - I, Dept. of Mathematics
Clifford analysis is a higher dimensional analogue of single variable complex analysis. Although functions take values in a finite dimensional Clifford algebra, the representation formula for Clifford regular functions is simpler and more powerful than for holomorphic functions of several complex variables. The talk shows how Clifford analysis techniques can be employed in operator theory for a functional calculus of $n$-tuples of operators.