Harmonic Function Theory

This is a book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the material presented here. The authors have taken unusual care to motivate concepts and simplify proofs. Topics include: bas...

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Main Authors: Axler, Sheldon, Bourdon, Paul (Author), Ramey, Wade (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Published: New York, NY Springer New York 2001, 2001
Edition:Second Edition
Series:Graduate Texts in Mathematics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Basic Properties of Harmonic Functions
  • Bounded Harmonic Functions
  • Positive Harmonic Functions
  • The Kelvin Transform
  • Harmonic Polynomials
  • Harmonic Hardy Spaces
  • Harmonic Functions on Half-Spaces
  • Harmonic Bergman Spaces
  • The Decomposition Theorem
  • Annular Regions
  • The Dirichlet Problem and Boundary Behavior