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Jürgen Elstrodt
Maß- und Integrationstheorie

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Pokrywa 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.

€22.99

Spis treści

?-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.

Język Niemiecki ● Format PDF ● Strony 434 ● ISBN 9783540499787 ● Wydawca Springer Berlin ● Miasto Heidelberg ● Kraj DE ● Opublikowany 2007 ● Ydanie 5 ● Do pobrania 24 miesięcy ● Waluta EUR ● ID 4465602 ● Ochrona przed kopiowaniem Adobe DRM

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