Lectures on Choquet's Theorem

• Κύριος συγγραφέας: Phelps, Robert R. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001.
• Έκδοση: 2nd ed. 2001.
• Σειρά: Lecture Notes in Mathematics, 1757
• Θέματα: Potential theory (Mathematics).; Functional analysis.; Potential Theory.; Functional Analysis.
• Φυσική περιγραφή: X, 130 p. online resource.
• ISBN: 9783540487197
• ISSN: 0075-8434 ;
• DOI: 10.1007/b76887

A well written, readable and easily accessible introduction to "Choquet theory", which treats the representation of elements of a compact convex set as integral averages over extreme points of the set. The interest in this material arises both from its appealing geometrical nature as well as its extraordinarily wide range of application to areas ranging from approximation theory to ergodic theory. Many of these applications are treated in this book. This second edition is an expanded and updated version of what has become a classic basic reference in the subject.