Abstract: We will discuss a relation between the classes of Schwartz functions present in Cowling-Price's and Hardy's uncertainty principle: they are almost-equivalent. We also discuss on an endpoint conjecture version of our main result, exhibiting particular classes where it holds, and present applications of our main theorem, making connections with the recent machinery of Escauriaza-Kenig-Ponce-Vega and with bounds on pointwise Gaussian decay of solutions to harmonic oscillators, settling a conjecture of Vemuri in all but a discrete set of times. Joint work with João Pedro Ramos (ETH) and Aleksei Kulikov (NTNU).
This will be a hybrid seminar. All are very welcome to join either online or in person. Venue: Luigi Stasi seminar room, for those wishing to attend in person.
ICTP - Strada Costiera, 11
I - 34151 Trieste Italy (+39) 040 2240 111 email@example.com