Hypercomplex Analysis: New Perspectives and Applications

Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen (Herausgeber)

Buch | Softcover

VII, 227 Seiten

2016 | 1. Softcover reprint of the original 1st ed. 2014
Springer International Publishing (Verlag)
978-3-319-35362-3 (ISBN)

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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.

Erscheinungsdatum	29.08.2016
Reihe/Serie	Trends in Mathematics
Zusatzinfo	VII, 227 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	Complex analysis, complex variables • computational science and engineering • continuous and discrete Clifford analysis • Functions of a Complex Variable • Groups and group theory • Image Processing • mathematics and statistics • Maths for scientists • quaternionic analysis • Representation Theory • Several Complex Variables and Analytic Spaces • Topological Groups, Lie Groups
ISBN-10	3-319-35362-4 / 3319353624
ISBN-13	978-3-319-35362-3 / 9783319353623
Zustand	Neuware