Classical potential theory / David H. Armitage, Stephen J. Gardiner

Auteur: Armitage, David H. (1945-) - AuteurCo-auteur: Gardiner, Stephen J. (1958-) - AuteurType de document: Monographie Collection: Springer monographs in mathematics Langue: anglaisPays: Grande BretagneÉditeur: London : Springer, cop. 2001Description: 1 vol. (XVI-333 p.) : fig. ; 24 cm ISBN: 9781447111160 ; br. Note: This monograph consists of nine chapters (each about thirty pages long) on harmonic functions, harmonic polynomials, subharmonic functions, potentials, polar sets and capacity, the Dirichlet problem, the fine topology, the Martin boundary, and boundary limits (the notion of energy is not discussed). Each of the first six chapters concludes by approximately twenty exercises. A short appendix indicating references to some general mathematical tools which are employed is followed by several pages of historical notes. ... (Zentralblatt)Bibliographie: Bibliogr. p. 317-327. Index. Sujets MSC: 31B05 Potential theory -- Higher-dimensional theory -- Harmonic, subharmonic, superharmonic functions
31B15 Potential theory -- Higher-dimensional theory -- Potentials and capacities, extremal length
31B25 Potential theory -- Higher-dimensional theory -- Boundary behavior
31A05 Potential theory -- Two-dimensional theory -- Harmonic, subharmonic, superharmonic functions
30C85 Functions of a complex variable -- Geometric function theory -- Capacity and harmonic measure in the complex plane
En-ligne: Springerlink | Zentralblatt | MathSciNet
Location Call Number Status Date Due
Salle R 12377-01 / 31 ARM (Browse Shelf) Available

This monograph consists of nine chapters (each about thirty pages long) on harmonic functions, harmonic polynomials, subharmonic functions, potentials, polar sets and capacity, the Dirichlet problem, the fine topology, the Martin boundary, and boundary limits (the notion of energy is not discussed). Each of the first six chapters concludes by approximately twenty exercises. A short appendix indicating references to some general mathematical tools which are employed is followed by several pages of historical notes. ... (Zentralblatt)

Bibliogr. p. 317-327. Index

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