Joint BCAM-UPV/EHU Analysis and PDE seminar: On Fourier uncertainty and extremal problems

LOCATION: Maryam Mirzakhani Seminar Room at BCAM 

Abstract
The uncertainty principle states, broadly, that one cannot have an unrestricted control of a function and its Fourier transform, simultaneously. This paradigm is related to different sorts of Fourier optimization problems, where one imposes conditions on a function and its transform and seeks to optimize a certain quantity of interest. We will discuss work (joint with E. Carneiro) on an uncertainty principle involving the sign of a function; some Fourier extremal problems (joint with A. Chirre and D. Dimitrov, and with E. Carneiro, M. Milinovich, and A. Ramos), and some connections to problems on other fields, such as the sphere packing problem and Linnik´s problem on the least prime in an arithmetic progression.


More info at https://sites.google.com/view/apdebilbao/home