Function Theory in the Unit Ball of ℂ n

• Main Author: Rudin, Walter (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
• Series: Classics in Mathematics,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Analysis.

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 o...

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.