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Lund University
Mathematics: Specialised Course in Integration Theory
<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…
- Higher education
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- 23 March 2026
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Overview
<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>
Admission scores
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.
The text is reproduced from the Susa source. Antagningsdata does not map GY11 and GY25 or assess personal eligibility.
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- Skolverket Susa-navet
- Period
- 2026-03-23
- Measure
- Entry-requirement text reproduced from the published Susa data; no personal eligibility assessment is made.
- Population
- Education offering e.uoh.lu.matp39.52569.20261
- Last checked
- 2026-09-23T10:38:33.477975+00:00
- Limitation
- Antagningsdata does not map GY11 and GY25. General and specific conditions are not separated without structured source data.
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About the provider
Sources and data quality
Education facts for the selected offering come from Skolverket Susa-navet.
Retrieved . Published . Times are shown in Swedish local time.
Source identity and publication version
- Publication version
- 8e217193-f5fa-4778-b085-a4521fd03e8d
- Education identity in the source
- i.uoh.lu.matp39.52569.20261
- Offering identity in the source
- e.uoh.lu.matp39.52569.20261
- Education-form source code
- HS
- Education code in the source
- MATP39
- Change time according to the source
- 2025-07-09T12:37:20
The provider, education and education offering are separate identities. Application information should be checked on the official website. Supplementary statistics have not been obtained from this source.