Fourier uniqueness and non-uniqueness pairs
Event details
| Date | 21.02.2023 |
| Hour | 15:00 › 16:45 |
| Speaker | Mikhail Sodin (Tel Aviv University) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
Motivated by a discovery by Radchenko and Viazovska and by a recent work by Ramos and Sousa,
we find conditions sufficient for a pair of discrete subsets of the real axis to be a uniqueness or a non-uniqueness
pair for the Fourier transform. These conditions are not too far from each other. The uniqueness theorem can be
upgraded to the frame bound and an interpolation formula, which in turn produce an abundance of Poisson-like
formulas (a.k.a. "crystalline measures").
Practical information
- Informed public
- Free
Organizer
- Maryna Viazovska
Contact
- Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)