Lecture 10

17 Outubro 2023, 08:30 • Telmo Peixe

1. Lebesgue integral: dominated convergence theorem.
2. Distributions: definition, simple examples.

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Lecture 09

12 Outubro 2023, 08:30 • Telmo Peixe

Lebesgue integral: monotone convergence theorem, properties, examples.

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Lecture 08

10 Outubro 2023, 08:30 • Telmo Peixe

1. Measurable functions: generation of sigma-algebras by functions.
2. Lebesgue integral: definition, properties, examples.

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Lecture 07

3 Outubro 2023, 08:30 • Telmo Peixe

Measurable functions: properties, simple functions, extended real valued functions, convergence of sequences of measurable functions.

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Lecture 06

28 Setembro 2023, 08:30 • Telmo Peixe

Measurable functions: definition and properties.

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