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One complex variable: The inhomogeneous Cauchy-Riemann equation and Runge`s theorem. The theorems of Mittag-Leffler and Weierstrass. Riemann`s mapping theorem. Several complex variables: Holomorphic functions and mappings. Zero sets and the Weierstrass preparation theorem. Hartog`s extension, domains of holomorphy, and holomorphic convexity. The d-bar equation with compact support.
Methods of complex function theory.
To participate in this course you must have an admission to a Ph.D.-programme at a Norwegian University or University College.
If you do not have an admission to the Ph.D.-Programme in Science at The Faculty of Mathematics and Natural Sciences at UiO, you have to apply for hospitantstatus (norwegian text) . For more information, please contact the Department.
None.
MAT1300 - Analysis I and MAT2300 - Analysis II.
10 credits with MAT365.
10 credits with MAT4310 - Complex analysis.
*The information about overlaps is not complete. Contact the department for more information if necessary.
4 hours of lectures/exercises per week.
Oral exam. Grading: pass or fail.
Visiting address:
Niels Henrik Abel's building, Moltke Moes vei
Postal address:
P.O.box 1053, Blindern
NO-0316 Oslo
Visiting hours:
Monday-friday 09:00-14:30
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