Cover Image

Classical Potential Theory /

Show other versions (1)

From its origins in Newtonian physics, potential theory has developed into a major field of mathematical research. This book provides a comprehensive treatment of classical potential theory: it covers harmonic and subharmonic functions, maximum principles, polynomial expansions, Green functions, pot...

Full description

Bibliographic Details
Main Author: Armitage, David H.
Corporate Author: SpringerLink (Online service)
Other Authors: Gardiner, Stephen J.
Format: eBook
Language:English
Published: London : Springer London, 2001.
Series:Springer monographs in mathematics.
Subjects:
Mathematics.
Global analysis (Mathematics)
Potential theory (Mathematics)
Electronic books.
Online Access:Connect to the full text of this electronic book
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.