Integral representation theory : applications to convexity, Banach spaces and potential theory /

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This ambitious and substantial monograph, written by prominent experts in the field, presents the state of the art of convexity, with an emphasis on the interplay between convex analysis and potential theory; more particularly, between Choquet theory and the Dirichlet problem. The book is unique and...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Lukeš, Jaroslav, 1940-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; New York : Walter de Gruyter, ©2010.
Colección:De Gruyter studies in mathematics ; 35.
Temas:
Functional analysis.
Convex domains.
Banach spaces.
Potential theory (Mathematics)
Integral representations.
Potential theory (Physics)
Analyse fonctionnelle.
Algèbres convexes.
Espaces de Banach.
Théorie du potentiel.
Représentations intégrales.
MATHEMATICS > Functional Analysis.
Banach-Raum
Choquet-Theorie
Integraldarstellung
Konvexe Menge
Potenzialtheorie
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Compact convex sets
  • Choquet theory of function spaces
  • Affine functions on compact convex sets
  • Perfect classes of functions and representation of affine functions
  • Simplicial function spaces
  • Choquet theory of function cones
  • Choquet-like sets
  • Topologies on boundaries
  • Deeper results on function spaces and compact convex sets
  • Continuous and measurable selectors
  • Constructions of function spaces
  • Function spaces in potential theory and the Dirichlet problem
  • Applications.

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