Recent progress on Fourier uncertainty
Joao Pedro Ramos (Instituto Nacional de Matematica Pura e Aplicada - ETH Zurich)
Abstract: The classical Heisenberg Uncertainty Principle shows that a function and its Fourier transform cannot be too concentrated around a point simultaneously. In other words, if we force a function and its Fourier transform to vanish outside a small neighborhood of a point, then the function is zero. This classical principle has been generalized to many levels in the past, including results of Hardy, Beurling and many others. In this talk, we will recall old and new results about Fourier ncertainty, focusing more on the most recent developments on the field and its relationship to various topics, such as the sphere packing problem, interpolation formulae and many others.
analysis of PDEsclassical analysis and ODEs
Audience: researchers in the topic
Series comments: Description: A senior graduate student/postdoc series in harmonic analysis, geometric measure theory, and partial differential equations.
Meetings will be weekly, and usually will occur on Monday, with some exceptions. For each talk, the Zoom link is made available in the website too. Contact Bruno Poggi at poggi008@umn.edu if you would like to subscribe to the seminar mailing list.
| Organizers: | Bruno Poggi*, Ryan Matzke, Jose Luis Luna Garcia* |
| *contact for this listing |