Format:
1 Online-Ressource (xvi, 715 Seiten).
ISBN:
978-3-11-020321-9
Series Statement:
De Gruyter studies in mathematics 35
Note:
Includes bibliographical references (pages 669-694) and index. - 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. - 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
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 978-3-11-020320-2
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 978-3-11-020320-2
Language:
English
Subjects:
Mathematics
Keywords:
Integraldarstellung
;
Konvexe Menge
;
Banach-Raum
;
Potenzialtheorie
;
Choquet-Theorie
URL:
Volltext
(URL des Erstveröffentlichers)
URL:
Volltext
(URL des Erstveröffentlichers)
URL:
Volltext
(URL des Erstveröffentlichers)
URL:
Volltext
(lizenzpflichtig)
Author information:
Lukeš, Jaroslav 1940-
