Integration Theory

10 credits

Course, Master's level, 1MA215

Autumn 2023 Autumn 2023, Uppsala, 33%, On-campus, English Only available as part of a programme

Autumn 2023 Autumn 2023, Uppsala, 33%, On-campus, English For exchange students

Autumn 2024 Autumn 2024, Uppsala, 33%, On-campus, English Only available as part of a programme

Autumn 2024 Autumn 2024, Uppsala, 33%, On-campus, English For exchange students

About the course

The course deals with measure and integration theory and gives the mathematical fundament of probability theory. The following topics are covered: Measures on sigma rings, extensions of measures, construction of the integral, convergence theorems for integrals, product measures, Borel measures, derivation of measures (Lebesgue decomposition, the Radon-Nikodym theorem), Fourier series, Lp spaces.

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