Real Functions and Measures — RFM

  • Instructor: Peter Maga
  • Contact: magapeter - at - gmail dot com
  • Prerequisites: calculus or rather an introductory analysis course; some elementary knowledge of topology and linear algebra is desirable, but a short introduction will be offered to make the course self contained.
  • Text: will be posted ( click here for the draft; posted FYI)

Course description: This course provides an introduction into the Lebesgue theory of real functions and measures.

Topics:

  • Abstract theory of measure and integration.
  • Borel measures, the Riesz representation theorem, the Lebesgue measure.
  • Lp spaces.
  • Decomposition theorems of Lebesgue and Radon-Nikodym (if time permits).

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