Joint BCAM-UPV/EHU Analysis and PDE seminar: Riesz basis of exponentials for convex polytopes with symmetric faces

LOCATION: BCAM Semianar room and Online

Abstract
We will discuss a joint result with Nir Lev, which states that for any convex and centrally symmetric polytope Ω ⊂ R^d , whose faces of all dimensions are also centrally symmetric, there exists a Riesz basis of exponential functions for L^2(Ω). This result extends previously known statements in this direction due to Lyubarskii and Rashkovskii, and also due to Walnut (d = 2), and by Grepstad and Lev (in arbitrary dimensions), where the same conclusion is obtained under the additional assumption that all the vertices of Ω lie in the lattice Z^d . 

Link to the session: 
https://us06web.zoom.us/j/99649860282?pwd=SE0vemtYMFlwbFBNTXQyOTBONG0vZz09

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