Descriptive set properties of collections of exceptional sets in Harmonic analysis
| Thesis title in Czech: | Deskriptivní vlastnosti systémů výjimečných množin v harmonické analýze |
|---|---|
| Thesis title in English: | Descriptive set properties of collections of exceptional sets in Harmonic analysis |
| Key words: | množiny jednoznačnosti, deskriptivní teorie množin, harmonická analýza |
| English key words: | sets of uniqueness, descriptive set theory, harmonic analysis |
| Academic year of topic announcement: | 2012/2013 |
| Thesis type: | diploma thesis |
| Thesis language: | angličtina |
| Department: | Department of Mathematical Analysis (32-KMA) |
| Supervisor: | RNDr. Václav Vlasák, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 08.11.2012 |
| Date of assignment: | 08.11.2012 |
| Confirmed by Study dept. on: | 23.11.2012 |
| Date and time of defence: | 16.09.2014 00:00 |
| Date of electronic submission: | 11.07.2014 |
| Date of submission of printed version: | 31.07.2014 |
| Date of proceeded defence: | 16.09.2014 |
| Opponents: | doc. RNDr. Miroslav Zelený, Ph.D. |
| Guidelines |
| Diplomant by se měl seznámit se základními pojmy deskriptivní teorie množin a strukturou množin jednoznačnosti a pokusit se vyřešit některý otevřený problém nastíněný v citované literatuře. |
| References |
| Kechris, A. S., Classical descriptive set theory, Graduate Texts in Mathematics 156, Springer-Verlag, New York (1995).
Kechris, A. S. and Louveau, A., Descriptive set theory and the structure of sets of uniqueness, London Mathematical Society Lecture Note Series, 128. Cambridge: Cambridge University Press., 1989. G. Debs. Polar �-ideals of compact sets. Trans. Amer. Math. Soc., 347(1):317-338, 1995. E. Matheron and M. Zelen�y. Descriptive set theory of families of small sets. Bull. Symb. Logic, 13(4):417-481, 2007. |