VVZ API is not affiliated with ETH Zurich. Data might be outdated or incorrect. Please view the official ETHZ Vorlesungsverzeichnis for binding information.

401-2284-00L 6 Credits
You're viewing possible stale or outdated data. Please check the latest semester for more up-to-date information.

Measure and Integration

Mass und Integral

Lecturers & Examiners: Prof. em. Dr. Dietmar A. Salamon
VVZ CR n/a

Last Updated: 2026-02-05 15:09:59

Abstract

Measures, Lebesgue integral, convergence theorems, outer measures, construction of the Lebesgue measure, Radon measures, Riesz representation theorem, Lp spaces, completeness, absolute continuity, theorem of Radon-Nikodym, real measures, the dual space of Lp, product measures, theorem of Fubini.

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.

General Information

Language
German
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 5)
  • Fri 11:15-12:00 (HG F 5)
3 h weekly
exercise Mass und Integral
  • Thu 08:15-10:00 (HG F 26.1)
  • Thu 08:15-10:00 (HG F 5)
  • Thu 08:15-10:00 (HG G 26.3)
  • Thu 10:15-12:00 (HG G 26.1)
2 h weekly

Offered In