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Analyse, III, calcul intégral / Laurent Schwartz ; avec la collaboration de K. Zizi

Auteur principal : Schwartz, Laurent, 1915-2002, AuteurAuteur secondaire : Zizi, Khelifa, CollaborateurType de document : MonographieCollection : Enseignement des sciences, 44Langue : français.Pays : France.Mention d'édition: nouvelle édition corrigéeÉditeur : Paris : Hermann, 1998Description : 1 vol. (452 p.) ; 24 cmISBN : 2705661632.ISSN : 0768-0341.Bibliographie : Bibliogr. Index.Sujet MSC : 28-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to measure and integration
26-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to real functions
46-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis
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Contents: Chapter V. Measure Theory: §1 Riemann integral on the real axis; §2 Measurable spaces and exterior measure; §3 Upper integral associated to a positive measure; §4 Radon measures on a locally compact space; §5 Upper integral associated to a positive Radon measure; §6 Measurable functions and convergence in measure; §7 Vector-valued integrable functions; §8 L p -spaces; §9 Vector measures; §10 The Lebesgue-Radon-Nikodym theorems and duality; §11 A measure associated to a map and a given measure; §12 Fubini-type theorems; §13 Weak convergence of measures.

Bibliogr. Index

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