Trigonometrické a Fourierovy řady a jejich aplikace
| Thesis title in Czech: | Trigonometrické a Fourierovy řady a jejich aplikace |
|---|---|
| Thesis title in English: | Trigonometric and Fourier series and their applications |
| Key words: | Fourierovy řady|izoperimetrická nerovnost|ekvidistribuční věta|nekonečné součty sudých mocnin převrácených hodnot|Gaussův kruhový problém |
| English key words: | Fourier series|isoperimetric inequality|equidistribution theorem|sums of the reciprocals of even powers of natural|Gauss circle problem |
| Academic year of topic announcement: | 2020/2021 |
| Thesis type: | diploma thesis |
| Thesis language: | čeština |
| Department: | Department of Mathematics Education (32-KDM) |
| Supervisor: | doc. RNDr. Antonín Slavík, Ph.D., DSc. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 28.08.2021 |
| Date of assignment: | 06.09.2021 |
| Confirmed by Study dept. on: | 15.09.2021 |
| Date and time of defence: | 05.09.2023 08:30 |
| Date of electronic submission: | 20.07.2023 |
| Date of submission of printed version: | 20.07.2023 |
| Date of proceeded defence: | 05.09.2023 |
| Opponents: | doc. RNDr. Jiří Veselý, CSc. |
| Guidelines |
| Práce bude zaměřena na Fourierovy a trigonometrické řady, zejména na jejich využití k řešení zajímavých problémů z různých oblastí matematiky. |
| References |
| Elias M. Stein, Rami Shakarchi: Fourier Analysis: An Introduction, Princeton University Press, 2003
Alex Iosevich: A View from the Top. Analysis, Combinatorics and Number Theory, American Mathematical Society, 2007 Helmut Groemer: Geometric Applications of Fourier Series and Spherical Harmonics, Cambridge University Press, 2009 |