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Jürgen Elstrodt
Maß- und Integrationstheorie

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Örtmek 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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İçerik tablosu

?-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.

Dil Almanca ● Biçim PDF ● Sayfalar 434 ● ISBN 9783540897286 ● Yayımcı Springer Berlin ● Kent Heidelberg ● Ülke DE ● Yayınlanan 2009 ● Baskı 6 ● İndirilebilir 24 aylar ● Döviz EUR ● Kimlik 2164808 ● Kopya koruma Adobe DRM

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