On the stability of phase retrieval in $ L_p(\mathbb{R})\cap L_2(\mathbb{R}, 1\leq p <2$

Anastasia Zakharova

Session: General

Keywords: Phase retrieval, continuous frame, Hausdorff-Young inequality

TL;DR: I wrote a response letter in order to answer reviewer's comments but I cannot find how I could attach it; I can provide it upon request.

Abstract: In this paper we tend to study the stability of phase retrieval for functions $f\in L_p(\mathbb{R})\cap L_2(\mathbb{R}), 1\leq p <2$ from their decomposition coefficients on continuous frames in $ L_2(\mathbb{R})$. As a by-product, we prove a version of Hausdorff -Young inequality for continuous frames.

Submission Number: 110