Integral representation theory : applications to convexity, Banach spaces and potential theory / Jaroslav Lukeš [and others].

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...

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Bibliographic Details
Other Authors: Lukeš, Jaroslav, 1940-
Format: eBook
Language:English
Published: Berlin ; New York : Walter de Gruyter, ©2010.
Series:De Gruyter studies in mathematics ; 35.
Subjects:
Online Access:Click for online access

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245 0 0 |a Integral representation theory :  |b applications to convexity, Banach spaces and potential theory /  |c Jaroslav Lukeš [and others]. 
260 |a Berlin ;  |a New York :  |b Walter de Gruyter,  |c ©2010. 
300 |a 1 online resource (xvi, 715 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a De Gruyter studies in mathematics ;  |v 35 
504 |a Includes bibliographical references (pages 669-694) and index. 
505 0 |a 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. 
520 |a 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. 
588 0 |a Print version record. 
546 |a In English. 
650 0 |a Functional analysis. 
650 0 |a Convex domains. 
650 0 |a Banach spaces. 
650 0 |a Potential theory (Mathematics) 
650 0 |a Integral representations. 
650 0 |a Potential theory (Physics) 
650 7 |a MATHEMATICS  |x Functional Analysis.  |2 bisacsh 
650 7 |a Potential theory (Physics)  |2 fast 
650 7 |a Banach spaces  |2 fast 
650 7 |a Convex domains  |2 fast 
650 7 |a Functional analysis  |2 fast 
650 7 |a Integral representations  |2 fast 
650 7 |a Potential theory (Mathematics)  |2 fast 
650 7 |a Banach-Raum  |2 gnd 
650 7 |a Choquet-Theorie  |2 gnd 
650 7 |a Integraldarstellung  |2 gnd 
650 7 |a Konvexe Menge  |2 gnd 
650 7 |a Potenzialtheorie  |2 gnd 
700 1 |a Lukeš, Jaroslav,  |d 1940-  |1 https://id.oclc.org/worldcat/entity/E39PBJf4bcRv4VwQ66q6C97vHC 
758 |i has work:  |a Integral representation theory (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGvXDWP4FdfHB8bgf99TRC  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |t Integral representation theory.  |d Berlin ; New York : Walter de Gruyter, ©2010  |z 9783110203202  |w (OCoLC)456186271 
830 0 |a De Gruyter studies in mathematics ;  |v 35. 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=511787  |y Click for online access 
903 |a EBC-AC 
994 |a 92  |b HCD