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Title Integral representation theory : applications to convexity, Banach spaces and potential theory / Jaroslav Lukeš [and others]
Published Berlin ; New York : Walter de Gruyter, ©2010


Description 1 online resource (xvi, 715 pages)
Series De Gruyter studies in mathematics ; 35
De Gruyter studies in mathematics ; 35.
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
Summary 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 self-contained, and it covers a wide range of applications which will appeal to many readers
Bibliography Includes bibliographical references (pages 669-694) and index
Notes In English
Print version record
Subject Functional analysis.
Convex domains.
Banach spaces.
Potential theory (Mathematics)
Integral representations.
Potential theory (Physics)
MATHEMATICS -- Functional Analysis.
Potential theory (Physics)
Banach spaces
Convex domains
Functional analysis
Integral representations
Potential theory (Mathematics)
Konvexe Menge
Form Electronic book
Author Lukeš, Jaroslav, 1940-
ISBN 9783110203219