Beurling's theorem for the Hardy operator on $L^2[0,1]$

Jim Agler; John E. McCarthy

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arXiv · 2206.03462

Beurling's theorem for the Hardy operator on $L^2[0,1]$

Jim Agler·John E. McCarthy

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Abstract

We prove that the invariant subspaces of the Hardy operator on $L^2[0,1]$ are the spaces that are limits of sequences of finite dimensional spaces spanned by monomial functions.

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Jim Agler, John E. McCarthy. 2022-06-07. Beurling's theorem for the Hardy operator on $L^2[0,1]$. https://arxiv.org/abs/2206.03462

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