Joint BCAM-UPV/EHU Analysis and PDE seminar: An analogue of Beurling's theorem for the Heisenberg group

Abstract
A theorem attributed to Beurling for the Fourier transform pairs asserts that for any nontrivial function f on R the bivariate function f(x) f(y)e |xy| is never integrable over R2. Well known uncertainty principles such as theorems of Hardy, Cowling-Price etc follow from this interesting result. In this talk we explore the possibility of formulating (and proving!) an analogue of Beurling´s theorem for the operator valued Fourier transform on the Heisenberg group.


Link to the session: 

https://us06web.zoom.us/j/99649860282?pwd=SE0vemtYMFlwbFBNTXQyOTBONG0vZz09 


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