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Jürgen Elstrodt
Maß- und Integrationstheorie

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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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?-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.

Bahasa Jerman ● Format PDF ● Halaman-halaman 434 ● ISBN 9783540897286 ● Penerbit Springer Berlin ● Bandar raya Heidelberg ● Negara DE ● Diterbitkan 2009 ● Edisi 6 ● Muat turun 24 bulan ● Mata wang EUR ● ID 2164808 ● Salin perlindungan Adobe DRM

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