Topics in Clifford Analysis
Special Volume in Honor of Wolfgang Sprößig
Editors: Bernstein, Swanhild (Ed.)
Free Preview- Provides an essential overview of modern topics in Clifford analysis
- Dedicated to Prof. Wolfgang Sprößig
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- About this book
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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.
- Table of contents (23 chapters)
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Cauchy’s Formula in Clifford Analysis: An Overview
Pages 3-23
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Quaternionic Hyperbolic Function Theory
Pages 25-52
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Slice Regularity and Harmonicity on Clifford Algebras
Pages 53-73
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Some Notions of Subharmonicity over the Quaternions
Pages 75-101
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A Fatou Theorem and Poisson’s Integral Representation Formula for Elliptic Systems in the Upper Half-Space
Pages 105-124
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Table of contents (23 chapters)
Bibliographic Information
- Bibliographic Information
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- Book Title
- Topics in Clifford Analysis
- Book Subtitle
- Special Volume in Honor of Wolfgang Sprößig
- Editors
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- Swanhild Bernstein
- Series Title
- Trends in Mathematics
- Copyright
- 2019
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-23854-4
- DOI
- 10.1007/978-3-030-23854-4
- Hardcover ISBN
- 978-3-030-23853-7
- Series ISSN
- 2297-0215
- Edition Number
- 1
- Number of Pages
- XXI, 503
- Number of Illustrations
- 12 b/w illustrations, 10 illustrations in colour
- Topics
