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Lund University
Mathematics: Complex Analysis 2
<p>This course is a continuation of Complex Analysis 1 and aims to provide a deeper understanding of fundamental concepts, results, and methods within the theory of analytic functions. It also develops the student's ability to apply this knowledge to describe, analyze, and solve relevant problems in complex analysis…
- Higher education
- Information unavailable
- 18 January 2027
- Lund
- Information unavailable
- 50 %
Overview
<p>This course is a continuation of Complex Analysis 1 and aims to provide a deeper understanding of fundamental concepts, results, and methods within the theory of analytic functions. It also develops the student's ability to apply this knowledge to describe, analyze, and solve relevant problems in complex analysis.</p><p>The course treats:</p> <ul> <li>Convergence of sequences of analytic functions. Locally uniform convergence, normal families, Montel’s theorem.</li> <li>In-depth study of conformal mappings. Riemann sphere, stereographic projection, Möbius transformations, disk automorphisms, Schwarz lemma, Riemann mapping theorem.</li> <li>Entire functions. Infinite products, factorization, order, genus. Fourier transforms and Paley-Wiener spaces.</li> <li>Harmonic and subharmonic functions. Maximum principle, Harnack’s principle, and application to Dirichlet’s problem in suitable domains.</li> </ul>
Admission scores
Entry requirements
For admission to the course, at least 90 credits are required, including basic knowledge in complex analysis corresponding to, for example, MATC21 Analytic Functions 1, 7.5 credits.
The text is reproduced from the Susa source. Antagningsdata does not map GY11 and GY25 or assess personal eligibility.
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- Source
- Skolverket Susa-navet
- Period
- 2027-01-18
- Measure
- Entry-requirement text reproduced from the published Susa data; no personal eligibility assessment is made.
- Population
- Education offering e.uoh.lu.matm32.52561.20271
- 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.matm32.52561.20271
- Offering identity in the source
- e.uoh.lu.matm32.52561.20271
- Education-form source code
- HS
- Education code in the source
- MATM32
- Change time according to the source
- 2026-07-06T16:48:42
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.