Sumários

Lecture TP11

28 Outubro 2020, 14:30 • Telmo Peixe

  1. Radon-Nikodym Theorem.
  2. Distributions: definition, simple examples, and distribution functions.
  3. Examples and resolution of exercises.

Lecture TP10

23 Outubro 2020, 13:30 • Telmo Peixe

  1. Lebesgue integral: Fubini Theorem and signed measures.
  2. Examples and resolution of exercises.

Lecture TP09

21 Outubro 2020, 14:30 • Telmo Peixe

  1. Examples: Integral for the Lebesgue measure and some of its properties.
  2. Convergence theorems.
  3. Resolution of exercises.

Lecture TP08

16 Outubro 2020, 13:30 • Telmo Peixe

  1. Definition of the Lebesgue integral.
  2. Properties.
  3. Examples: integral for the Dirac measure.

Lecture TP07

14 Outubro 2020, 14:30 • Telmo Peixe

  1. Simple functions, extended real valued functions, convergence of sequences of measurable functions, induced measure, and generation of sigma-algebras by measurable functions.
  2. Resolution of exercises.