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Jürgen Elstrodt
Maß- und Integrationstheorie

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Capa do 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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Tabela de Conteúdo

?-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.

Língua Alemão ● Formato PDF ● Páginas 434 ● ISBN 9783540897286 ● Editora Springer Berlin ● Cidade Heidelberg ● País DE ● Publicado 2009 ● Edição 6 ● Carregável 24 meses ● Moeda EUR ● ID 2164808 ● Proteção contra cópia Adobe DRM

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