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Last update: G_M (16.05.2012)
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Last update: G_M (27.04.2012)
Advanced topics in complex analysis. |
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Last update: doc. RNDr. Roman Lávička, Ph.D. (24.02.2021)
The credit (zápočet) is a necessary condition for coming to examination. Students obtain the credit for giving short lectures on given topics during classes. The character of the credit does not enable its repetition. |
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Last update: G_M (27.04.2012)
Rudin, W.: Reálná a komplexní analýza, Academia Praha, 1977
Novák, B.: Funkce komplexní proměnné (skripta), SPN Praha, 1980
Luecking, D.H., Rubel, L.A.: Complex Analysis, A Functional Analysis Approach, Springer-Verlag, Universitext, 1984
Veselý, J.: Komplexní analýza, Karolinum Praha, 2000 |
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Last update: G_M (27.04.2012)
Lecture and exercises |
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Last update: doc. RNDr. Roman Lávička, Ph.D. (24.02.2021)
Requirements to the exam correspond to the syllabus to the extent to which topics were covered during the course. |
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Last update: doc. Mgr. Petr Kaplický, Ph.D. (29.05.2017)
Entire and meromorphic functions (infinite products, the Weierstrass product theorem, the Mittag-Leffler theorem, Cauchy's method)
Properties of the space H(G) of holomorphic functions on an open set G. Characterization of the dual H(G)*, applications of the Hahn-Banach theorem: Runge's theorems.
Conformal mappings (homographic transformations, the Schwarz lemma, Blaschke's factors, the Riemann theorem)
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