Hypercomplex Analysis: New Perspectives and Applications

by Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen

Series: Trends in Mathematics

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.


  • Springer International Publishing; October 2014
  • ISBN: 9783319087719
  • Read online, or download in DRM-free PDF (digitally watermarked) format
  • Title: Hypercomplex Analysis: New Perspectives and Applications
  • Series: Trends in Mathematics
  • Author: Swanhild Bernstein (ed.); Uwe Kähler (ed.); Irene Sabadini (ed.); Frank Sommen (ed.)
  • Imprint: Birkhäuser