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arXiv · 2205.00187

Examples of Hölder-stable Phase Retrieval

Michael Christ·Ben Pineau·Mitchell A. Taylor
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Abstract

Examples are constructed of infinite-dimensional subspaces $V\subset L^2(μ)$ with the property that for any $f,g\in V$, if $|f|$ is approximately equal to $|g|$ with respect to the $L^2$ norm, then there exists a unimodular scalar $z$ such that $f$ is approximately equal to $zg$.

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Michael Christ, Ben Pineau, Mitchell A. Taylor. 2023-03-18. Examples of Hölder-stable Phase Retrieval. https://arxiv.org/abs/2205.00187

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