Editors:
Covers developments in all directions of hypercomplex analysis
Presents new perspectives and current trends for researchers interested in or related to the topic
Includes contributions written by leading experts in the field
Includes applications (image analysis, mathematical physics and mechanics, etc.) for persons working in these areas
Includes supplementary material: sn.pub/extras
Part of the book series: Trends in Mathematics (TM)
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Table of contents (15 papers)
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Front Matter
About this book
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.
Keywords
- continuous and discrete Clifford analysis
- image processing
- quaternionic analysis
- representation theory
Editors and Affiliations
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Institute of Applied Analysis, TU Bergakademie Freiberg, Freiberg, Germany
Swanhild Bernstein
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Departamento de Matemática, Universidade de Aveiro, Aveiro, Portugal
Uwe Kähler
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Dipartimento di Matematica, Politecnico di Milano, Milano, Italy
Irene Sabadini
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Dept. Mathematical Analysis, University of Gent, Gent, Belgium
Frank Sommen
Bibliographic Information
Book Title: Hypercomplex Analysis: New Perspectives and Applications
Editors: Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen
Series Title: Trends in Mathematics
DOI: https://doi.org/10.1007/978-3-319-08771-9
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-08770-2Published: 27 October 2014
Softcover ISBN: 978-3-319-35362-3Published: 23 August 2016
eBook ISBN: 978-3-319-08771-9Published: 10 October 2014
Series ISSN: 2297-0215
Series E-ISSN: 2297-024X
Edition Number: 1
Number of Pages: VII, 227
Topics: Functions of a Complex Variable, Topological Groups and Lie Groups, Several Complex Variables and Analytic Spaces, Computational Science and Engineering