Holomorphic Functions in the Plane and n-dimensional Space

Complex analysis nowadays has higher-dimensional analoga: the algebra of complex numbers is replaced then by the non-commutative algebra of real quaternions or by Clifford algebras. During the last 30 years the so-called quaternionic and Clifford or hypercomplex analysis successfully developed to a...

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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Gürlebeck, Klaus (Auteur), Habetha, Klaus (Auteur), Sprößig, Wolfgang (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2008.
Édition:1st ed. 2008.
Sujets:
Functions of complex variables.
Mathematical analysis.
Potential theory (Mathematics).
Functions of a Complex Variable.
Integral Transforms and Operational Calculus.
Potential Theory.
Analysis.
Accès en ligne:Texto Completo
Table des matières:
  • Introduction
  • I. Numbers
  • Complex Numbers - Quaternions - Clifford numbers
  • II. Functions
  • Topological Aspects - Holomorphic Functions - Power Functions and Möbius Transformations
  • III. Integration und Integral Theorems - Integral Theorems and -formulas - Teodorescu Transformation
  • IV. Series and Local Properties - Power Series- Orthogonal Series - Elementary Functions
  • Local Structure of Holomorphic Functions - Special Functions
  • Appendices
  • Bibliography
  • Index.

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