Riesz bases of exponentials for convex polytopes

Seminar
Speaker
Prof. Nir Lev, Bar-Ilan University
Date
04/11/2019 - 15:20 - 14:00Add to Calendar 2019-11-04 14:00:00 2019-11-04 15:20:00 Riesz bases of exponentials for convex polytopes Which domains in Euclidean space admit a basis of exponential functions? The answer  depends on what we mean by a "basis". The best one can hope for is to have an orthogonal  basis of exponentials, but it is well-known that many reasonable domains do not have such  a basis. In this case, a Riesz basis is the next best thing one can hope for. I will  discuss a recent result joint with Alberto Debernardi, which deals with the construction  of Riesz bases of exponentials for convex polytopes in R^d. 2nd floor Colloquium Room, Building 216 אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
2nd floor Colloquium Room, Building 216
Abstract

Which domains in Euclidean space admit a basis of exponential functions? The answer 
depends on what we mean by a "basis". The best one can hope for is to have an orthogonal 
basis of exponentials, but it is well-known that many reasonable domains do not have such 
a basis. In this case, a Riesz basis is the next best thing one can hope for. I will 
discuss a recent result joint with Alberto Debernardi, which deals with the construction 
of Riesz bases of exponentials for convex polytopes in R^d.

Last Updated Date : 03/11/2019