This volume is dedicated to analytic and geometric aspects of Clifford analysis and its applications. There are two sources of papers in this collection. One is a satellite conference to the ICM 2002 in Beijing, held August 15-18 at the University of Macau; and the other source are invited contributions by experts in the field. All articles were strictly refereed and contain previously unpublished new results, some include comprehensive surveys. Including applications to articificial intelligence, number theory, numerical analysis and physics, the book will be a unique resource for postgraduates and researchers in a large number of disciplines.
At the heart of Clifford analysis is the study of systems of special partial differential operators that arise naturally from the use of Clifford algebra as a calculus tool. This book focuses on the study of Dirac operators and related ones, together with applications in mathematics, physics and engineering. This book collects refereed papers from a satellite conference to the ICM 2002, plus invited contributions. All articles contain unpublished new results.