Advanced Real Analysis II

Education facts

Code: MM8044

I Avancerad reell analys II fördjupas studien av funktionalanalys samt mått- och integrationsteori från kursen Avancerad reell analys I. Detaljerat innehåll: Komplexa mått, Radon-Nikodyms sats, duala rum, svaga topologier, adjungerade operatorer, operatorer på Hilbertrum, samt spektralteori för kompakta operatorer och begränsade operatorer i Hilbertrum. Tillämpningar: Urval av fourieranalys, ergodteori, sannolikhetsteori, differentialekvationer samt geometrisk måtteori.

Entry requirements

Admission to the course requires knowledge equivalent to Advanced Real Analysis I, 7.5 ECTS credits (MM7046). Also required is knowledge equivalent to Swedish upper secondary course English 6.

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 II

  Stockholm University

  Stockholm

  Start date: 18 January 2027

  End date: 6 June 2027

  Pace of study: 25 %