Geometric Function Theory Explorations in Complex Analysis /

Complex variables is a precise, elegant, and captivating subject. Presented from the point of view of modern work in the field, this new book addresses advanced topics in complex analysis that verge on current areas of research, including invariant geometry, the Bergman metric, the automorphism grou...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Krantz, Steven G. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2006.
Edición:1st ed. 2006.
Colección:Cornerstones,
Temas:
Mathematical analysis.
Functions of complex variables.
Harmonic analysis.
Geometry, Differential.
Differential equations.
Potential theory (Mathematics).
Analysis.
Functions of a Complex Variable.
Abstract Harmonic Analysis.
Differential Geometry.
Differential Equations.
Potential Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Classical Function Theory
  • Invariant Geometry
  • Variations on the Theme of the Schwarz Lemma
  • Normal Families
  • The Riemann Mapping Theorem and Its Generalizations
  • Boundary Regularity of Conformal Maps
  • The Boundary Behavior of Holomorphic Functions
  • Real and Harmonic Analysis
  • The Cauchy-Riemann Equations
  • The Green's Function and the Poisson Kernel
  • Harmonic Measure
  • Conjugate Functions and the Hilbert Transform
  • Wolff's Proof of the Corona Theorem
  • Algebraic Topics
  • Automorphism Groups of Domains in the Plane
  • Cousin Problems, Cohomology, and Sheaves.

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