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Jürgen Elstrodt
Maß- und Integrationstheorie

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Copertina di Jürgen Elstrodt: Maß- und Integrationstheorie (PDF)

Solides, unerläßliches Basiswissen für weite Bereiche der Mathematik: reelle Analysis, Funktional-, Wahrscheinlichkeitstheorie und mathematische Statistik. Höhepunkte sind die Herleitung des Rieszschen Darstellungssatzes mit Hilfe eines Fortsetzungsresultats von Kisynski und der Beweis der Existenz und Eindeutigkeit des Haarschen Maßes. Thematische Schwerpunkte sind Produktmaße, Fourier-Transformation, Transformationsformel, Konvergenzbegriffe, absolute Stetigkeit und Maße auf topologischen Räumen. Plus: Konvergenz von Maßen, der Satz von Prochorov, zahlreiche mathematikhistorische Ausflüge und Kurzporträts, eine Vielzahl von Übungsaufgaben.

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Tabella dei contenuti

?-Algebren und Borelsche Mengen.- Inhalte und Maße.- Meßbare Funktionen.- Das Lebesgue-Integral.- Produktmaße, Satz von Fubini und Transformationsformel.- Konvergenzbegriffe der Maß-und Integrationstheorie.- Absolute Stetigkeit.- Maße auf topologischen Räumen.

Lingua Tedesco ● Formato PDF ● Pagine 434 ● ISBN 9783540499787 ● Casa editrice Springer Berlin ● Città Heidelberg ● Paese DE ● Pubblicato 2007 ● Edizione 5 ● Scaricabile 24 mesi ● Moneta EUR ● ID 4465602 ● Protezione dalla copia Adobe DRM

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