Multidimensional Operator Theory and Clifford Analysis
by
Mircea Martin
Baker University

The lecture will highlight links between Clifford analysis and multidimensional operator theory. At the core of this interplay we place some new uses of higher-dimensional Cauchy transforms in both areas. The main issues include generalizations of the Ahlfors-Beurling inequality, singular integral models for jointly seminormal tuples of Hilbert space operators, and specific forms of Putnam's inequality for such models.

Date received: April 14, 1999