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...
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| Huvudupphovsman: | |
|---|---|
| Materialtyp: | Livre numérique |
| Språk: | Anglais |
| Publicerad: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serie: | Lecture notes in mathematics
1757 |
| Ämnen: | |
| Länkar: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmärkning: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Lectures on Choquet's theorem, Robert R. Phelps, 2nd edition, 2001, Berlin, Springer, 1 vol. (124 p.), Lecture notes in mathematics, 3-540-41834-2 • Lectures on Choquet's Theorem, Texte imprimé, 9783662173381 |
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| 009 | PPN155205757 | ||
| 020 | |a 9783540487197 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 517.5 | ||
| 100 | 1 | |a Phelps, Robert Ralph, |d 1926-2013. | |
| 245 | 1 | 0 | |a Lectures on Choquet s Theorem |c Robert R. Phelps. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1757 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a The Krein-Milman theorem as an integral representation theorem -- Application of the Krein-Milman theorem to completely monotonic functions -- Choquet s theorem: The metrizable case. -- The Choquet-Bishop-de Leeuw existence theorem -- Applications to Rainwater s and Haydon s theorems -- A new setting: The Choquet boundary -- Applications of the Choquet boundary to resolvents -- The Choquet boundary for uniform algebras -- The Choquet boundary and approximation theory -- Uniqueness of representing measures. -- Properties of the resultant map -- Application to invariant and ergodic measures -- A method for extending the representation theorems: Caps -- A different method for extending the representation theorems -- Orderings and dilations of measures -- Additional Topics. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Théorie de Choquet | ||
| 650 | |a Théorie du potentiel | ||
| 650 | |a Analyse fonctionnelle | ||
| 776 | 0 | |0 058085432 |t Lectures on Choquet's theorem |f Robert R. Phelps |e 2nd edition |d 2001 |c Berlin |n Springer |p 1 vol. (124 p.) |s Lecture notes in mathematics |z 3-540-41834-2 | |
| 776 | 0 | |t Lectures on Choquet's Theorem |b Texte imprimé |z 9783662173381 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b76887 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-3VMW1SCX-4 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750653434 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/b76887 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754003612 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b76887 |z Accès INSA CVL | |
| 997 | |0 971357 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||