Beurling's theorem for the Hardy operator on $L^2[0,1]$
Functional Analysis
2022-07-05 v2 Classical Analysis and ODEs
Abstract
We prove that the invariant subspaces of the Hardy operator on are the spaces that are limits of sequences of finite dimensional spaces spanned by monomial functions.
Cite
@article{arxiv.2206.03462,
title = {Beurling's theorem for the Hardy operator on $L^2[0,1]$},
author = {Jim Agler and John E. McCarthy},
journal= {arXiv preprint arXiv:2206.03462},
year = {2022}
}