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Last update: doc. RNDr. Pavel Pyrih, CSc. (10.05.2024)
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Last update: Mgr. Michal Doucha, Ph.D. (23.05.2022)
K. H. Hofmann, S. A. Morris, The structure of compact groups. A primer for the student – a handbook for the expert.De Gruyter Studies in Mathematics 25. Berlin: De Gruyter, 2020.
M. Stroppel, Locally compact groups, EMS Textbooks in Mathematics. Zürich: European Mathematical Society Publishing House, 2006. |
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Last update: Mgr. Michal Doucha, Ph.D. (23.05.2022)
Oral exam based on the presented material. Alternatively, the students can prepare a blackboard presentation or a paper on some advanced topic that extends the presented material. |
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Last update: Mgr. Michal Doucha, Ph.D. (04.01.2023)
1. General basics of topological, and especially locally compact, groups.
2. Haar measure on locally compact groups.
3. Unitary representations of locally compact groups and the Peter-Weyl theorem.
4. Pontryagin duality for locally compact abelian groups. |
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Last update: prof. RNDr. Ondřej Kalenda, Ph.D., DSc. (13.05.2022)
Elements of general topology and functional analysis (covered for example by courses NMMA345 General Topology 1 and NMMA331 Introduction to Functional Analysis). |