Publication at Faculty of Mathematics and Physics |
2010
Abstract
This monograph provides an extensive and largely self-contained exposition of integral representation theory with emphasis on applications in mathematical analysis. It is focused on the Choquet theory of function spaces, function cones and compact convex sets.
An important feature of the book is the interplay between various mathematical subjects, such as functional analysis, measure theory, descriptive set theory, Banach spaces and classical as well as abstract potential theory. A substantial part of the material is of fairly recent origin and many results appear in book form for the first time.