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.
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