Harmonic Function Theory

2. Auflage 2001
ISBN: 978-0-387-95218-5
Verlag: Springer

Buch, Englisch, 264 Seiten, Format (B × H): 162 mm x 244 mm, Gewicht: 1250 g

Reihe: Graduate Texts in Mathematics

This book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package supplements the text for readers who wish to explore harmonic function theory on a computer.

Zielgruppe

Graduate

Autoren/Hrsg.

Axler, Sheldon

Bourdon, Paul

Wade, Ramey

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis

Inhaltsverzeichnis

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.