Function Theory in the Unit Ball of Cn

Function Theory in the Unit Ball of Cn. From the reviews: "...The book is easy on the reader. The prerequisites are minimal-just the standard graduate introduction to real analysis, complex analysis (one variable), and functional analysis. This presentation is unhurried and the author does most...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Rudin, Walter (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Edición:1st ed. 2008.
Colección:Classics in Mathematics,
Temas:
Mathematical analysis.
Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preliminaries
  • The Automorphisms of B
  • Integral Representations
  • The Invariant Laplacian
  • Boundary Behavior of Poisson Integrals
  • Boundary Behavior of Cauchy Integrals
  • Some Lp-Topics
  • Consequences of the Schwarz Lemma
  • Measures Related to the Ball Algebra
  • Interpolation Sets for the Ball Algebra
  • Boundary Behavior of H?-Functions
  • Unitarily Invariant Function Spaces
  • Moebius-Invariant Function Spaces
  • Analytic Varieties
  • Proper Holomorphic Maps
  • The -Problem
  • The Zeros of Nevanlinna Functions
  • Tangential Cauchy-Riemann Operators
  • Open Problems.

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