English

Three problems on exponential bases

Functional Analysis 2019-08-15 v2

Abstract

We consider three special and significant cases of the following problem. Let D be a (possibly unbounded) set of finite Lebesgue measure in R^d. Find conditions on D for which the standard exponential basis on the unit cube of R^d is a frame, a Riesz sequence, or a Riesz basis on L^2(D).

Cite

@article{arxiv.1710.05342,
  title  = {Three problems on exponential bases},
  author = {Laura De Carli and Alberto Mizrahi and Alexander Tepper},
  journal= {arXiv preprint arXiv:1710.05342},
  year   = {2019}
}
R2 v1 2026-06-22T22:14:01.496Z