Pseudocontinuation and cyclicity for random power series
Complex Variables
2007-05-23 v1
Abstract
We prove that a random function in the Hardy space is a non-cyclic vector for the backward shift operator almost surely. The question of existence of a local pseudocontinuation for a random analytic function is also studied.
Keywords
Cite
@article{arxiv.0704.2789,
title = {Pseudocontinuation and cyclicity for random power series},
author = {Evgeny Abakumov and Alexei Poltoratski},
journal= {arXiv preprint arXiv:0704.2789},
year = {2007}
}