Norm retrieval in dynamical sampling form

Year 2024, Volume: 73 Issue: 3, 860 - 874, 27.09.2024

Fatma Bozkurt

https://doi.org/10.31801/cfsuasmas.1408427

Abstract

In this article, we study the construction of norm retrievable frames that have a dynamical sampling structure. For a closed subspace $W$ of $R^n$, we show that when the collection of subspaces $\{A^\ell W\}_{i \in I}$ is norm retrievable in $R^n$ for a unitary or Jordan operator $A$, then there always exists a collection of norm retrievable frame vectors that have a dynamical sampling structure in $R^n$.

Keywords

Frame vectors, phase retrieval, norm retrieval, dynamical sampling

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