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

Integral representation theory : applications to convexity, Banach spaces and potential theory / Jaroslav Lukeš [and others].

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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Bibliographic Details
Other Authors: Lukeš, Jaroslav, 1940-
Format: eBook
Language:English
Published: Berlin ; New York : Walter de Gruyter, ©2010.
Series:De Gruyter studies in mathematics ; 35.
Subjects:
Functional analysis.
Convex domains.
Banach spaces.
Potential theory (Mathematics)
Integral representations.
Potential theory (Physics)
MATHEMATICS > Functional Analysis.
Banach spaces
Convex domains
Functional analysis
Integral representations
Banach-Raum
Choquet-Theorie
Integraldarstellung
Konvexe Menge
Potenzialtheorie
Online Access:Click for online access
Table of Contents:
  • 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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