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401-2284-00L 6 Credits BSC D-PHYS , D-MATH
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Measure and Integration

Mass und Integral

Lecturers & Examiners: Prof. em. Dr. Alessandra Iozzi
VVZ CR n/a

Last Updated: 2026-02-05 15:29:42

Abstract

Introduction to measure theory and integration, including the following topics: Lebesgue measure and Lebesgue integral, Lp-spaces, convergence theorems, differentiation of measures, product measures (Fubini's theorem), abstract measures, Radon-Nikodym theorem.

Objective

Basic aquaintance with the theory of measure and integration, in particular, Lebesgue's measure and integral.

Content

Lebesgue-Mass und -Integral; Lp-Räume, Konvergenzsätze, Differentiation, Produktmasse (Fubini); abstrakte Masstheorie, Satz über die Erweiterung von Massen, Satz von Radon-Nikodym; eventuell Sobolev-Räume.

Resources

Literature

Walter Rudin "Real and complex analysis"

General Information

Language
English
Levels
BSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
oral 15 minutes

Course Components

Type Title Time & Place Hours
lecture Mass und Integral
  • Wed 08:15-10:00 (HG G 3)
  • Fri 11:15-12:00 (HG F 5)
3 h weekly
exercise Mass und Integral
  • Thu 08:15-10:00 (HG E 33.3)
  • Thu 08:15-10:00 (HG F 5)
  • Thu 08:15-10:00 (HG G 26.3)
  • Fri 13:15-15:00 (HG F 26.1)
2 h weekly

Offered In