Holdings: Integral representation theory

Integral representation theory: applications to convexity, Banach spaces and potential theory

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Bibliographic Details
Main Authors:	Lukeš, Jaroslav 1940- (Author), Malý, Jan 1955- (Author), Netuka, Ivan (Author), Spurný, Jiří (Author)
Format:	Electronic eBook
Language:	English
Published:	Berlin De Gruyter [2010]
Series:	De Gruyter studies in mathematics 35
Subjects:	MATHEMATICS / Functional Analysis Banach-Raum Choquet-Theorie Integraldarstellung Konvexe Menge Potenzialtheorie Banach spaces Convex domains Functional analysis Integral representations Potential theory (Mathematics)
Online Access:	FUBA1 Volltext Volltext
Item Description:	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
Physical Description:	1 Online-Ressource (xvi, 715 Seiten)
ISBN:	9783110203219
DOI:	10.1515/9783110203219

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MARC


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Record in the Search Index

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author	Lukeš, Jaroslav 1940- Malý, Jan 1955- Netuka, Ivan Spurný, Jiří
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isbn	9783110203219
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spelling	Lukeš, Jaroslav 1940- (DE-588)111006066 aut Integral representation theory applications to convexity, Banach spaces and potential theory Jaroslav Lukeš ; Jan Malý ; Ivan Netuka ; Jiří Spurný Berlin De Gruyter [2010] © 2010 1 Online-Ressource (xvi, 715 Seiten) txt rdacontent c rdamedia cr rdacarrier De Gruyter studies in mathematics 35 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 MATHEMATICS / Functional Analysis bisacsh Banach-Raum swd Choquet-Theorie swd Integraldarstellung swd Konvexe Menge swd Potenzialtheorie swd Banach spaces fast Convex domains fast Functional analysis fast Integral representations fast Potential theory (Mathematics) fast Functional analysis Convex domains Banach spaces Potential theory (Mathematics) Integral representations Choquet-Theorie (DE-588)4638875-8 gnd rswk-swf Potenzialtheorie (DE-588)4046939-6 gnd rswk-swf Konvexe Menge (DE-588)4165212-5 gnd rswk-swf Banach-Raum (DE-588)4004402-6 gnd rswk-swf Integraldarstellung (DE-588)4127585-8 gnd rswk-swf Integraldarstellung (DE-588)4127585-8 s Konvexe Menge (DE-588)4165212-5 s Banach-Raum (DE-588)4004402-6 s Potenzialtheorie (DE-588)4046939-6 s DE-604 Choquet-Theorie (DE-588)4638875-8 s Malý, Jan 1955- (DE-588)1051223741 aut Netuka, Ivan (DE-588)1130692183 aut Spurný, Jiří aut Erscheint auch als Druck-Ausgabe 978-3-11-020320-2 (DE-604)BV035818771 Erscheint auch als Druck-Ausgabe 978-3-11-020320-2 De Gruyter studies in mathematics 35 (DE-604)BV044966417 35 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=317711 Aggregator Volltext https://doi.org/10.1515/9783110203219 Verlag URL des Erstveröffentlichers Volltext
spellingShingle	Lukeš, Jaroslav 1940- Malý, Jan 1955- Netuka, Ivan Spurný, Jiří Integral representation theory applications to convexity, Banach spaces and potential theory De Gruyter studies in mathematics MATHEMATICS / Functional Analysis bisacsh Banach-Raum swd Choquet-Theorie swd Integraldarstellung swd Konvexe Menge swd Potenzialtheorie swd Banach spaces fast Convex domains fast Functional analysis fast Integral representations fast Potential theory (Mathematics) fast Functional analysis Convex domains Banach spaces Potential theory (Mathematics) Integral representations Choquet-Theorie (DE-588)4638875-8 gnd Potenzialtheorie (DE-588)4046939-6 gnd Konvexe Menge (DE-588)4165212-5 gnd Banach-Raum (DE-588)4004402-6 gnd Integraldarstellung (DE-588)4127585-8 gnd
subject_GND	(DE-588)4638875-8 (DE-588)4046939-6 (DE-588)4165212-5 (DE-588)4004402-6 (DE-588)4127585-8
title	Integral representation theory applications to convexity, Banach spaces and potential theory
title_auth	Integral representation theory applications to convexity, Banach spaces and potential theory
title_exact_search	Integral representation theory applications to convexity, Banach spaces and potential theory
title_full	Integral representation theory applications to convexity, Banach spaces and potential theory Jaroslav Lukeš ; Jan Malý ; Ivan Netuka ; Jiří Spurný
title_fullStr	Integral representation theory applications to convexity, Banach spaces and potential theory Jaroslav Lukeš ; Jan Malý ; Ivan Netuka ; Jiří Spurný
title_full_unstemmed	Integral representation theory applications to convexity, Banach spaces and potential theory Jaroslav Lukeš ; Jan Malý ; Ivan Netuka ; Jiří Spurný
title_short	Integral representation theory
title_sort	integral representation theory applications to convexity banach spaces and potential theory
title_sub	applications to convexity, Banach spaces and potential theory
topic	MATHEMATICS / Functional Analysis bisacsh Banach-Raum swd Choquet-Theorie swd Integraldarstellung swd Konvexe Menge swd Potenzialtheorie swd Banach spaces fast Convex domains fast Functional analysis fast Integral representations fast Potential theory (Mathematics) fast Functional analysis Convex domains Banach spaces Potential theory (Mathematics) Integral representations Choquet-Theorie (DE-588)4638875-8 gnd Potenzialtheorie (DE-588)4046939-6 gnd Konvexe Menge (DE-588)4165212-5 gnd Banach-Raum (DE-588)4004402-6 gnd Integraldarstellung (DE-588)4127585-8 gnd
topic_facet	MATHEMATICS / Functional Analysis Banach-Raum Choquet-Theorie Integraldarstellung Konvexe Menge Potenzialtheorie Banach spaces Convex domains Functional analysis Integral representations Potential theory (Mathematics)
url	http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=317711 https://doi.org/10.1515/9783110203219
volume_link	(DE-604)BV044966417
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