Verfügbarkeit: Integral representation theory :

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

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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Weitere Verfasser:	Lukeš, Jaroslav, 1940-
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Berlin ; New York : Walter de Gruyter, ©2010.
Schriftenreihe:	De Gruyter studies in mathematics ; 35.
Schlagworte:	Functional analysis. Convex domains. Banach spaces. Potential theory (Mathematics) Integral representations. Potential theory (Physics) Analyse fonctionnelle. Algèbres convexes. Espaces de Banach. Théorie du potentiel. Représentations intégrales. MATHEMATICS > Functional Analysis. Banach spaces Convex domains Functional analysis Integral representations Banach-Raum Choquet-Theorie Integraldarstellung Konvexe Menge Potenzialtheorie Convex Analysis. Dirichlet Problem. Functional Analysis. Partial Differential Equation. Potential Theory. Electronic book.
Online-Zugang:	Volltext
Zusammenfassung:	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.
Beschreibung:	1 online resource (xvi, 715 pages)
Bibliographie:	Includes bibliographical references (pages 669-694) and index.
ISBN:	9783110203219 3110203219

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MARC


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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. \|0 http://id.loc.gov/authorities/subjects/sh85052312
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650		6	\|a Représentations intégrales.
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650		7	\|a Banach-Raum \|2 gnd \|0 http://d-nb.info/gnd/4004402-6
650		7	\|a Choquet-Theorie \|2 gnd \|0 http://d-nb.info/gnd/4638875-8
650		7	\|a Integraldarstellung \|2 gnd \|0 http://d-nb.info/gnd/4127585-8
650		7	\|a Konvexe Menge \|2 gnd \|0 http://d-nb.info/gnd/4165212-5
650		7	\|a Potenzialtheorie \|2 gnd \|0 http://d-nb.info/gnd/4046939-6
653			\|a Convex Analysis.
653			\|a Dirichlet Problem.
653			\|a Functional Analysis.
653			\|a Partial Differential Equation.
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655		4	\|a Electronic book.
700	1		\|a Lukeš, Jaroslav, \|d 1940- \|1 https://id.oclc.org/worldcat/entity/E39PBJf4bcRv4VwQ66q6C97vHC \|0 http://id.loc.gov/authorities/names/n86070719
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contents	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.
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genre	Electronic book.
genre_facet	Electronic book.
id	ZDB-4-EBA-ocn651048124
illustrated	Not Illustrated
indexdate	2024-11-27T13:17:24Z
institution	BVB
isbn	9783110203219 3110203219
language	English
oclc_num	651048124
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publishDate	2010
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publisher	Walter de Gruyter,
record_format	marc
series	De Gruyter studies in mathematics ;
series2	De Gruyter studies in mathematics ;
spelling	Integral representation theory : applications to convexity, Banach spaces and potential theory / Jaroslav Lukeš [and others]. Berlin ; New York : Walter de Gruyter, ©2010. 1 online resource (xvi, 715 pages) text txt rdacontent computer c rdamedia online resource 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. Print version record. In English. Functional analysis. http://id.loc.gov/authorities/subjects/sh85052312 Convex domains. http://id.loc.gov/authorities/subjects/sh85031727 Banach spaces. http://id.loc.gov/authorities/subjects/sh85011441 Potential theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85105671 Integral representations. http://id.loc.gov/authorities/subjects/sh85067096 Potential theory (Physics) http://id.loc.gov/authorities/subjects/sh89005116 Analyse fonctionnelle. Algèbres convexes. Espaces de Banach. Théorie du potentiel. Représentations intégrales. MATHEMATICS Functional Analysis. bisacsh Potential theory (Physics) fast Banach spaces fast Convex domains fast Functional analysis fast Integral representations fast Potential theory (Mathematics) fast Banach-Raum gnd http://d-nb.info/gnd/4004402-6 Choquet-Theorie gnd http://d-nb.info/gnd/4638875-8 Integraldarstellung gnd http://d-nb.info/gnd/4127585-8 Konvexe Menge gnd http://d-nb.info/gnd/4165212-5 Potenzialtheorie gnd http://d-nb.info/gnd/4046939-6 Convex Analysis. Dirichlet Problem. Functional Analysis. Partial Differential Equation. Potential Theory. Electronic book. Lukeš, Jaroslav, 1940- https://id.oclc.org/worldcat/entity/E39PBJf4bcRv4VwQ66q6C97vHC http://id.loc.gov/authorities/names/n86070719 has work: Integral representation theory (Text) https://id.oclc.org/worldcat/entity/E39PCGvXDWP4FdfHB8bgf99TRC https://id.oclc.org/worldcat/ontology/hasWork Print version: Integral representation theory. Berlin ; New York : Walter de Gruyter, ©2010 9783110203202 (OCoLC)456186271 De Gruyter studies in mathematics ; 35. http://id.loc.gov/authorities/names/n83742913 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=317711 Volltext
spellingShingle	Integral representation theory : applications to convexity, Banach spaces and potential theory / De Gruyter studies in mathematics ; 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. Functional analysis. http://id.loc.gov/authorities/subjects/sh85052312 Convex domains. http://id.loc.gov/authorities/subjects/sh85031727 Banach spaces. http://id.loc.gov/authorities/subjects/sh85011441 Potential theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85105671 Integral representations. http://id.loc.gov/authorities/subjects/sh85067096 Potential theory (Physics) http://id.loc.gov/authorities/subjects/sh89005116 Analyse fonctionnelle. Algèbres convexes. Espaces de Banach. Théorie du potentiel. Représentations intégrales. MATHEMATICS Functional Analysis. bisacsh Potential theory (Physics) fast Banach spaces fast Convex domains fast Functional analysis fast Integral representations fast Potential theory (Mathematics) fast Banach-Raum gnd http://d-nb.info/gnd/4004402-6 Choquet-Theorie gnd http://d-nb.info/gnd/4638875-8 Integraldarstellung gnd http://d-nb.info/gnd/4127585-8 Konvexe Menge gnd http://d-nb.info/gnd/4165212-5 Potenzialtheorie gnd http://d-nb.info/gnd/4046939-6
subject_GND	http://id.loc.gov/authorities/subjects/sh85052312 http://id.loc.gov/authorities/subjects/sh85031727 http://id.loc.gov/authorities/subjects/sh85011441 http://id.loc.gov/authorities/subjects/sh85105671 http://id.loc.gov/authorities/subjects/sh85067096 http://id.loc.gov/authorities/subjects/sh89005116 http://d-nb.info/gnd/4004402-6 http://d-nb.info/gnd/4638875-8 http://d-nb.info/gnd/4127585-8 http://d-nb.info/gnd/4165212-5 http://d-nb.info/gnd/4046939-6
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 [and others].
title_fullStr	Integral representation theory : applications to convexity, Banach spaces and potential theory / Jaroslav Lukeš [and others].
title_full_unstemmed	Integral representation theory : applications to convexity, Banach spaces and potential theory / Jaroslav Lukeš [and others].
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	Functional analysis. http://id.loc.gov/authorities/subjects/sh85052312 Convex domains. http://id.loc.gov/authorities/subjects/sh85031727 Banach spaces. http://id.loc.gov/authorities/subjects/sh85011441 Potential theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85105671 Integral representations. http://id.loc.gov/authorities/subjects/sh85067096 Potential theory (Physics) http://id.loc.gov/authorities/subjects/sh89005116 Analyse fonctionnelle. Algèbres convexes. Espaces de Banach. Théorie du potentiel. Représentations intégrales. MATHEMATICS Functional Analysis. bisacsh Potential theory (Physics) fast Banach spaces fast Convex domains fast Functional analysis fast Integral representations fast Potential theory (Mathematics) fast Banach-Raum gnd http://d-nb.info/gnd/4004402-6 Choquet-Theorie gnd http://d-nb.info/gnd/4638875-8 Integraldarstellung gnd http://d-nb.info/gnd/4127585-8 Konvexe Menge gnd http://d-nb.info/gnd/4165212-5 Potenzialtheorie gnd http://d-nb.info/gnd/4046939-6
topic_facet	Functional analysis. Convex domains. Banach spaces. Potential theory (Mathematics) Integral representations. Potential theory (Physics) Analyse fonctionnelle. Algèbres convexes. Espaces de Banach. Théorie du potentiel. Représentations intégrales. MATHEMATICS Functional Analysis. Banach spaces Convex domains Functional analysis Integral representations Banach-Raum Choquet-Theorie Integraldarstellung Konvexe Menge Potenzialtheorie Electronic book.
url	https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=317711
work_keys_str_mv	AT lukesjaroslav integralrepresentationtheoryapplicationstoconvexitybanachspacesandpotentialtheory

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