Classical Potential Theory / Edition 1

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More About This Textbook

Overview

A long-awaited, updated introductory text by the world leaders in potential theory. This essential reference work covers all aspects of this major field of mathematical research, from basic theory and exercises to more advanced topological ideas. The largely self-contained presentation makes it basically accessible to graduate students.

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Product Details

  • ISBN-13: 9781852336189
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 12/12/2000
  • Series: Springer Monographs in Mathematics Series
  • Edition description: 2001
  • Edition number: 1
  • Pages: 349
  • Sales rank: 1,203,583
  • Product dimensions: 0.88 (w) x 9.21 (h) x 6.14 (d)

Table of Contents

Notation and Terminology.- 1. Harmonic Functions.- 2. Harmonic Polynomials.- 3. Subharmonic Functions.- 4. Potentials.- 5. Polar Sets and Capacity.- 6. The Dirichlet Problem.- 7. The Fine Topology.- 8. The Martin Boundary.- 9. Boundary Limits.- Appendix.- Historical Notes.- References.- Symbol Index.- Index.

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