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

Auteur principal : Armitage, David H., 1945-, AuteurCo-auteur : Gardiner, Stephen J., 1958-, AuteurType de document : MonographieCollection : Springer monographs in mathematicsLangue : anglais.Pays: Grande Bretagne.Éditeur : Springer, London, cop. 2001Description : 1 vol. (XVI-333 p.) : fig. ; 24 cmISBN: 9781447111160.ISSN: 1439-7382.Bibliographie : Bibliogr. p. 317-327. Index.Sujet MSC : 31B05, Higher-dimensional potential theory, Harmonic, subharmonic, superharmonic functions in higher dimensions
31B15, Higher-dimensional potential theory, Potentials and capacities, extremal length and related notions in higher dimensions
31B25, Higher-dimensional potential theory, Boundary behavior of harmonic functions in higher dimensions
31A05, Two-dimensional potential theory, Harmonic, subharmonic, superharmonic functions in two dimensions
30C85, Functions of a complex variable - Geometric function theory, Capacity and harmonic measure in the complex planeEn-ligne : Springerlink | Zentralblatt | MathSciNet
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Monographie Monographie CMI
Salle 1 		31 ARM (Browse shelf(Opens below)) Available 12377-01

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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