The Kadets 1/4 theorem for polynomials
Classical Analysis and ODEs
2009-08-26 v1
Abstract
We determine the maximal angular perturbation of the (n+1)th roots of unity permissible in the Marcinkiewicz-Zygmund theorem on L^p means of polynomials of degree at most n. For p=2, the result is an analogue of the Kadets 1/4 theorem on perturbation of Riesz bases of holomorphic exponentials.
Cite
@article{arxiv.0712.3478,
title = {The Kadets 1/4 theorem for polynomials},
author = {J. Marzo and K. Seip},
journal= {arXiv preprint arXiv:0712.3478},
year = {2009}
}
Comments
7 pages