Density criteria for Fourier uniqueness phenomena in R^d
Event details
| Date | 24.09.2024 |
| Speaker | Anshul Adve (Princeton University) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
A remarkable byproduct of the work of Viazovska et al. on sphere packing is the notion of a "Fourier uniqueness set": a discrete subset A of R^d such that any Schwarz function on R^d is determined by its restriction and the restriction of its Fourier transform to A. Once one knows such sets exist, it is natural to ask how dense they must be / how sparse they can be. This was determined in dimension 1 by Kulikov, Nazarov, and Sodin, but the higher dimensional story was much less well understood. We will give an answer in all dimensions using new methods.
Practical information
- Informed public
- Free
Contact
- Laetitia Al-Sulaymaniyin