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 $R^n$.
Frame vectors phase retrieval norm retrieval dynamical sampling
Birincil Dil | İngilizce |
---|---|
Konular | Operatör Cebirleri ve Fonksiyonel Analiz |
Bölüm | Research Article |
Yazarlar | |
Yayımlanma Tarihi | 27 Eylül 2024 |
Gönderilme Tarihi | 22 Aralık 2023 |
Kabul Tarihi | 8 Temmuz 2024 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 73 Sayı: 3 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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