Periodické relace S. Bochnera
| Thesis title in Czech: | Periodické relace S. Bochnera |
|---|---|
| Thesis title in English: | The Bochner periodic relations |
| Key words: | Fourierova transformace|grupa SL(2:R)|Howeova dualita|Bochnerovy relace |
| English key words: | Fourier transform|group SL(2:R)|Howe duality|Bochner relations |
| Academic year of topic announcement: | 2022/2023 |
| Thesis type: | Bachelor's thesis |
| Thesis language: | čeština |
| Department: | Mathematical Institute of Charles University (32-MUUK) |
| Supervisor: | prof. RNDr. Vladimír Souček, DrSc. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 02.03.2023 |
| Date of assignment: | 17.04.2023 |
| Confirmed by Study dept. on: | 05.06.2023 |
| Date and time of defence: | 28.06.2023 08:00 |
| Date of electronic submission: | 11.05.2023 |
| Date of submission of printed version: | 15.05.2023 |
| Date of proceeded defence: | 28.06.2023 |
| Opponents: | doc. RNDr. Roman Lávička, Ph.D. |
| Guidelines |
| 1) Formulovat a dokázat různé verze teorie sférických harmonik z hlediska Howeových dualit.
2) Definovat oscilátorovou reprezentaci a použít jí pro popis Hermiteovckých funkcí. 3) Popsat souvislost Fourierovy transformace a grupy SL(2,R). 4) Dokázat Bochnerovy periodické relace. |
| References |
| R.Howe, E.-Ch.Tan: Non-Abelian Harmonic Analysis: Application of SL(2,R), Springer, 1992,
S. Bochner: Harmonic analysis and the theory of probability, Univ, California Press, Berkeley, 1955, R. Howe: Remarks on classical invarian theory, Trans. AMS, 313, 2, 1989, 539-570, |