On topologies and boundaries in potential theory : enlarged edition of a course of lectures delivered in 1966
保存先:
| 第一著者: | |
|---|---|
| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| シリーズ: | Lecture notes in mathematics
175 |
| 主題: | |
| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans |
| 注記: |
Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • On topologies and boundaries in potential theory, enlarged edition of a course of lectures delivered in 1966, Marcel Brelot,..., Berlin, Springer-Verlag, 1971, 1 vol. (VI-176 p.), Lecture notes in mathematics, 3-540-05327-1 • On Topologies and Boundaries in Potential Theory, Texte imprimé, 9783662185506 |
目次:
- General notions of thinness and fine topology
- Notion of reduced function. Applications. Strong thinness and strong unthinness
- General results on fine limits
- Quasi-topological notions
- Weak thinness
- Notions in classical potential theory
- Classical fine topology-general properties
- Applications to balayage, weights and capacities
- Further study of classical thinness. Some applications
- Relations with the Choquet boundary
- Extension to axiomatic theories of harmonic functions
- Abstract minimal thinness, minimal boundary, minimal fine topology
- General compactification of constantinescu-cornea first examples of application
- Classical martin space the martin integral representation
- Classical martin space and minimal thinness
- Classical martin boundary dirichlet problem and boundary behaviour
- Comparison of both thinnesses. Fine limits and non-tangential limits. (Classical case. Examples)
- Martin space and minimal thinness in axiomatic theories short survey.