On Topologies and Boundaries in Potential Theory. 1st ed. 1971
- 種類:
- 電子ブック
- 責任表示:
- by Marcel Brelot
- 出版情報:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1971
- 著者名:
- シリーズ名:
- Lecture Notes in Mathematics ; 175
- ISBN:
- 9783540364474 [3540364471]
- 注記:
- 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.
- ローカル注記:
- 学内専用E-BOOKS (local access only)
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12
電子ブック
On Dirichlet's Boundary Value Problem : LP-Theory based on a Generalization of Garding's Inequality
Springer Berlin Heidelberg : Imprint: Springer |