Application of Holomorphic Functions in Two and Higher Dimensions

This book presents applications of hypercomplex analysis to boundary value and initial-boundary value problems from various areas of mathematical physics. Given that quaternion and Clifford analysis offer natural and intelligent ways to enter into higher dimensions, it starts with quaternion and Cli...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Gürlebeck, Klaus (Autor), Habetha, Klaus (Autor), Sprößig, Wolfgang (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Birkhäuser, 2016.
Edición:1st ed. 2016.
Temas:
Mathematical analysis.
Functions of complex variables.
Differential equations.
Functional analysis.
Integral Transforms and Operational Calculus.
Functions of a Complex Variable.
Differential Equations.
Functional Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1.Basic Properties of Holomorphic Functions
  • 2.Conformal and Quasi-conformal Mappings
  • 3.Function Theoretic Function spaces
  • 4.Operator Calculus
  • 5.Decompositions
  • 6.Some First Order Systems of Partial Differential Equations
  • 7.Boundary Value Problems of Second Order Partial Differential Equations
  • 8.Some Initial-boundary Value Problems
  • 9.Riemann-Hilbert Problems
  • 10.Initial Boundary Value Problems on the Sphere
  • 11.Fourier Transforms
  • Bibliography
  • Index.

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