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Birkhäuser

Clifford Algebras and their Applications in Mathematical Physics

Volume 2: Clifford Analysis

  • Book
  • © 2000

Overview

Editors:
  1. John Ryan

    1. Department of Mathematics, University of Arkansas, Fayetteville, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Wolfgang Sprößig

    1. Faculty of Mathematics and Informatics, Freiberg University of Mining and Technology, Freiberg, Germany

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Progress in Mathematical Physics (PMP, volume 19)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xxii
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  2. Partial Differential Equations and Boundary Value Problems

    1. Front Matter

      Pages 1-1
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    2. On Quaternionic Beltrami Equations

      • Uwe Kähler
      Pages 3-15

    3. The Möbius Transformation, Green Function and the Degenerate Elliptic Equation

      • Xinhua Ji
      Pages 17-35

    4. Quaternionic Analysis in Fluid Mechanics

      • Wolfgang Sprößig
      Pages 37-53

  3. Singular Integral Operators

    1. Front Matter

      Pages 55-55
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    2. Fourier Theory Under Möbius Transformations

      • Xinhua Ji, Tao Qian, John Ryan
      Pages 57-80

    3. On the Cauchy Type Integral and the Riemann Problem

      • Juan Bory Reyes, Ricardo Abreu Blaya
      Pages 81-94

    4. Convolution and Maximal Operator Inequalities in Clifford Analysis

      • Mircea Martin
      Pages 95-113

  5. Möbius Transformations and Monogenic Functions

    1. Front Matter

      Pages 237-237
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    2. The Schwarzian and Möbius Transformations in Higher Dimensions

      • Masaaki Wada, Osamu Kobayashi
      Pages 239-246

    3. The Structure of Monogenic Functions

      • Yakov Krasnov
      Pages 247-260

    4. On the Radial Part of the Cauchy-Riemann Operator

      • Thomas Hempfling
      Pages 261-271

    5. Hypercomplex Derivability — The Characterization of Monogenic Functions in ℝn+1 by Their Derivative

      • Helmuth R. Malonek
      Pages 273-285
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Keywords

Editors and Affiliations

  • Department of Mathematics, University of Arkansas, Fayetteville, USA

    John Ryan

  • Faculty of Mathematics and Informatics, Freiberg University of Mining and Technology, Freiberg, Germany

    Wolfgang Sprößig

Bibliographic Information

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

  • Book Subtitle: Volume 2: Clifford Analysis

  • Editors: John Ryan, Wolfgang Sprößig

  • Series Title: Progress in Mathematical Physics

  • DOI: https://doi.org/10.1007/978-1-4612-1374-1

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2000

  • Hardcover ISBN: 978-0-8176-4183-2Published: 22 June 2000

  • Softcover ISBN: 978-1-4612-7119-2Published: 14 October 2012

  • eBook ISBN: 978-1-4612-1374-1Published: 06 December 2012

  • Series ISSN: 1544-9998

  • Series E-ISSN: 2197-1846

  • Edition Number: 1

  • Number of Pages: XXII, 320

  • Topics: Differential Geometry, Mathematical Methods in Physics

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