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Trends in Mathematics

Topics in Clifford Analysis

Special Volume in Honor of Wolfgang Sprößig

Editors: Bernstein, Swanhild (Ed.)

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  • Provides an essential overview of modern topics in Clifford analysis
  • Dedicated to Prof. Wolfgang Sprößig
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eBook $84.99
price for USA (gross)
  • ISBN 978-3-030-23854-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
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  • Immediate eBook download after purchase
Hardcover $109.99
price for USA
  • ISBN 978-3-030-23853-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.


Table of contents (23 chapters)

Table of contents (23 chapters)
  • Cauchy’s Formula in Clifford Analysis: An Overview

    Pages 3-23

    Brackx, Fred (et al.)

  • Quaternionic Hyperbolic Function Theory

    Pages 25-52

    Eriksson, Sirkka-Liisa (et al.)

  • Slice Regularity and Harmonicity on Clifford Algebras

    Pages 53-73

    Perotti, Alessandro

  • Some Notions of Subharmonicity over the Quaternions

    Pages 75-101

    Stoppato, Caterina

  • A Fatou Theorem and Poisson’s Integral Representation Formula for Elliptic Systems in the Upper Half-Space

    Pages 105-124

    Marín, Juan José (et al.)

Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-3-030-23854-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA
  • ISBN 978-3-030-23853-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.

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Bibliographic Information

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
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