Advanced Real Analysis I

Education facts

Code: MM7046

Kursen behandlar grundläggande måtteori, integration av mätbara funktioner (Lebesgueintegraler), konvergenssatser, produktmått och Fubinis sats, metriska rum, Banach- och Hilbertrum, grundläggande satser om linjära operatorer och funktionaler. Tillämpningar: Urval av Fourieranalys, ergodteori, sannolikhetsteori, Sobolevrum samt differentialekvationer.

Entry requirements

For admission to the course, knowledge is required equivalent to Mathematics III - Foundations of Analysis, 7.5 credits (MM5021). Also required is knowledge equivalent to Swedish upper secondary course English B.

Education offerings

Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.

• Advanced Real Analysis I

  Stockholm University

  Start date: 24 August 2026

  End date: 11 January 2027

  Pace of study: 25 %