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Clifford Algebras and their Applications in Mathematical Physics

Proceedings of the Third Conference held at Deinze, Belgium, 1993

  • Conference proceedings
  • © 1993

Overview

Editors:
  1. F. Brackx

    1. Department of Mathematical Analysis, University of Ghent, Ghent, Belgium

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  2. R. Delanghe

    1. Department of Mathematical Analysis, University of Ghent, Ghent, Belgium

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  3. H. Serras

    1. Department of Mathematical Analysis, University of Ghent, Ghent, Belgium

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Part of the book series: Fundamental Theories of Physics (FTPH, volume 55)

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Table of contents (45 papers)

  1. Front Matter

    Pages i-xii
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  2. Clifford Algebras and Applications

    1. Front Matter

      Pages 1-1
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    2. Quantum Clifford Algebras

      • T. BrzeziÅ„ski, L. C. Papaloucas, J. RembieliÅ„ski
      Pages 3-8

    3. Relations Between Witt Rings and Brauer Groups

      • Jacques Helmstetter, Artibano Micali
      Pages 9-12

    4. Clifford Algebra Tables

      • Ian R. Porteous
      Pages 13-22

    5. Finite Geometry and the Table of Real Clifford Algebras

      • R. Shaw
      Pages 23-31

    6. Jordan Form in Clifford Algebra

      • Garret Sobczyk
      Pages 33-41

  3. Clifford Analysis

    1. Front Matter

      Pages 43-43
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    2. Elliptic Boundary Value Problems in Unbounded Domains

      • S. Bernstein
      Pages 45-53

    3. Dirac Operators and Manifolds with Boundary

      • B. Booss-Bavnbek, K. P. Wojciechowski
      Pages 55-66

    4. Spin Structures and Harmonic Spinors on Riemann Surfaces

      • Jarolím BureÅ¡
      Pages 67-74

    5. Spherical Geometry and Möbius Transformations

      • J. Cnops
      Pages 75-84

    6. Cauchy Transforms and Bi-Axial Monogenic Power Functions

      • A. K. Common, F. Sommen
      Pages 85-90

    7. Note on the Use of Spherical Vectorfields in Clifford Analysis

      • J. De Graaf
      Pages 91-100

    8. Quaternionic Analysis and Transmission Problems

      • K. Gürlebeck
      Pages 101-108

    9. C*-Algebras of Nonlocal Quaternionic Convolution Type Operators

      • Yuri I. Karlovich
      Pages 109-118

    10. On the Solutons of D N \(\hat D\) M F = 0

      • B. Klein Obbink
      Pages 119-127

    11. Biregular Quaternionic Functions

      • WiesÅ‚aw Królikowski, R. Michael Porter
      Pages 129-135

    12. Monogenic and Holomorphic Functions

      • G. Laville
      Pages 137-139

    13. Hypercomplex Differentiabilty and its Applications

      • Helmuth R. Malonek
      Pages 141-150
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Keywords

About this book

This International Conference on Clifford AlgebrfU and Their Application, in Math­ ematical Phy,ic, is the third in a series of conferences on this theme, which started at the Univer,ity of Kent in Canterbury in 1985 and was continued at the Univer,iU de, Science, et Technique, du Languedoc in Montpellier in 1989. Since the start of this series of Conferences the research fields under consideration have evolved quite a lot. The number of scientific papers on Clifford Algebra, Clifford Analysis and their impact on the modelling of physics phenomena have increased tremendously and several new books on these topics were published. We were very pleased to see old friends back and to wellcome new guests who by their inspiring talks contributed fundamentally to tracing new paths for the future development of this research area. The Conference was organized in Deinze, a small rural town in the vicinity of the University town Gent. It was hosted by De Ceder, a vacation and seminar center in a green area, a typical landscape of Flanders's "plat pays" . The Conference was attended by 61 participants coming from 18 countries; there were 10 main talks on invitation, 37 contributions accepted by the Organizing Com­ mittee and a poster session. There was also a book display of Kluwer Academic Publishers. As in the Proceedings of the Canterbury and Montpellier conferences we have grouped the papers accordingly to the themes they are related to: Clifford Algebra, Clifford Analysis, Classical Mechanics, Mathematical Physics and Physics Models.

Editors and Affiliations

  • Department of Mathematical Analysis, University of Ghent, Ghent, Belgium

    F. Brackx, R. Delanghe, H. Serras

Bibliographic Information

  • Book Title: Clifford Algebras and their Applications in Mathematical Physics

  • Book Subtitle: Proceedings of the Third Conference held at Deinze, Belgium, 1993

  • Editors: F. Brackx, R. Delanghe, H. Serras

  • Series Title: Fundamental Theories of Physics

  • DOI: https://doi.org/10.1007/978-94-011-2006-7

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1993

  • Hardcover ISBN: 978-0-7923-2347-1Due: 31 October 1993

  • Softcover ISBN: 978-94-010-4886-6Published: 23 August 2014

  • eBook ISBN: 978-94-011-2006-7Published: 06 December 2012

  • Series ISSN: 0168-1222

  • Series E-ISSN: 2365-6425

  • Edition Number: 1

  • Number of Pages: XII, 411

  • Number of Illustrations: 2 b/w illustrations

  • Topics: Theoretical, Mathematical and Computational Physics, Associative Rings and Algebras, Analysis, Applications of Mathematics

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