Lectures on Choquet's Theorem

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.

Riassunto

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.

Dettagli sul prodotto

• Autori: Robert R Phelps, Robert R. Phelps
• Editore: Springer, Berlin
• Contenuto: Libro
• Forma del prodotto: Tascabile
• Data pubblicazione: 26.06.2009
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi
• EAN: 9783540418344
• ISBN: 978-3-540-41834-4
• Numero di pagine: 130
• Illustrazioni: X, 130 p.
• Dimensioni (della confezione): 15.6 x 23.6 x 1 cm
• Peso (della confezione): 235 g
• Serie: Lecture Notes in Mathematics > 1757; Lecture Notes in Mathematics
• Categorie: set, B, Form, Integral, Function, Funktionalanalysis und Abwandlungen, Presentation, Theorem, Mathematics and Statistics, Functional Analysis, Ergodic theory, Functional analysis & transforms, Potential Theory, Potential theory (Mathematics), representing measures, metrizable