Overview
- Provides an essential overview of modern topics in Clifford analysis
- Dedicated to Prof. Wolfgang Sprößig
Part of the book series: Trends in Mathematics (TM)
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Table of contents (23 chapters)
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Front Matter
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Applications to Elliptic Partial Differential Equations
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Front Matter
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Monogenic Polynomials and Numerical Methods
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Front Matter
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Differential Geometry
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Front Matter
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Keywords
About this book
Quaternionic and Clifford analysis are an extension of complex analysis into higher dimensions. The unique starting point of Wolfgang Sprößig’s work was the application of quaternionic analysis to elliptic differential equations and boundary value problems. Over the years, Clifford analysis has become a broad-based theory with a variety of applications both inside and outside of mathematics, such as higher-dimensional function theory, algebraic structures, generalized polynomials, applications of elliptic boundary value problems, wavelets, image processing, numerical and discrete analysis.
The aim of this volume is to provide an essential overview of modern topics in Clifford analysis, presented by specialists in the field, and to honor the valued contributions to Clifford analysis made by Wolfgang Sprößig throughout his career.
Editors and Affiliations
Bibliographic Information
Book Title: Topics in Clifford Analysis
Book Subtitle: Special Volume in Honor of Wolfgang Sprößig
Editors: Swanhild Bernstein
Series Title: Trends in Mathematics
DOI: https://doi.org/10.1007/978-3-030-23854-4
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-23853-7Published: 25 October 2019
Softcover ISBN: 978-3-030-23856-8Published: 25 October 2020
eBook ISBN: 978-3-030-23854-4Published: 15 October 2019
Series ISSN: 2297-0215
Series E-ISSN: 2297-024X
Edition Number: 1
Number of Pages: XXI, 503
Number of Illustrations: 12 b/w illustrations, 10 illustrations in colour
Topics: Functions of a Complex Variable, Field Theory and Polynomials, Potential Theory, Several Complex Variables and Analytic Spaces, Difference and Functional Equations, Algebraic Geometry