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Function theory in the unit ball of Cn /

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

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Bibliographic Details
Main Author: Rudin, Walter, 1921-2010
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York : Springer-Verlag New York, 1980, 2008.
Edition:Reprint of the 1980 edition.
Series:Classics in mathematics.
Grundlehren der mathematischen Wissenschaften ; 241.
Subjects:
Holomorphic functions.
Unit ball.
Ebooks > UML.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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.