Mathematics: Specialised Course in Integration Theory

Education facts

Code: MATP39

<p>The course is an alternatively compulsory course within the Master's programme in mathematics. The course gives a presentation of some central results in integration theory, as well as the modern measure-theoretic approach to differentiation of functions. The students will be provided with a powerful and general machinery leading to a deeper understanding of aspects of modern analysis, like for example, harmonic analysis.</p><p>The course treats basic properties of signed and complex measures:</p> <ul> <li>Hahn and Jordan decomposition,</li> <li>absolute continuity and the Radon-Nikodym theorem, singularity, Lebesgue decomposition of measures,</li> <li>differentiability of finite Borel measures on Rd, differentiability of absolutely continuous functions,</li> <li>the Hardy-Littlewood maximal function and the weak type estimate for it,</li> <li>the Hardy-Littlewood maximal function of Lp-functions, p>1.</li> </ul><p>http://www.maths.lu.se/</p>

Entry requirements

For admission to the course, English 6/B and at least 90 credits in mathematics are required, in which should be included the course MATM39 Integration theory, 7.5 credits, or equivalent.

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.

• Mathematics: Specialised Course in Integration Theory

  Lund University

  Start date: 23 March 2026

  End date: 7 June 2026

  Pace of study: 50 %