Hypercomplex Analysis: New Perspectives and Applications
Hypercomplex analysis is the extension of complex analysis to higher dimensions where the concept of a holomorphic function is substituted by the concept of a monogenic function. In recent decades this theory has come to the forefront of higher dimensional analysis. There are several approaches to this: quaternionic analysis which merely uses quaternions, Clifford analysis which relies on Clifford algebras, and generalizations of complex variables to higher dimensions such as split-complex variables. This book includes a selection of papers presented at the session on quaternionic and hypercomplex analysis at the ISAAC conference 2013 in Krakow, Poland. The topics covered represent new perspectives and current trends in hypercomplex analysis and applications to mathematical physics, image analysis and processing, and mechanics.
Covers developments in all directions of hypercomplex analysisPresents new perspectives and current trends for researchers interested in or related to the topicIncludes contributions written by leading experts in the fieldIncludes applications (image analysis, mathematical physics and mechanics, etc.) for persons working in these areas