Weaving Riesz Bases
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910696699068416 |
|---|---|
| author | Cabrelli, Carlos Molter, Ursula Negreira, Felipe |
| author_facet | Cabrelli, Carlos Molter, Ursula Negreira, Felipe |
| contents | This paper explores woven frames in separable Hilbert spaces with an initial focus on the finite-dimensional case. We begin by simplifying the problem to bases, for which we obtain a unique characterization. We establish a condition that is both necessary and sufficient for vector reconstruction, which applies to Fourier matrices. Furthermore, we show that these characterizations are still valid in the infinite-dimensional case, for Riesz bases. Finally, we obtain several results for weaving Riesz bases of translations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02229 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weaving Riesz Bases Cabrelli, Carlos Molter, Ursula Negreira, Felipe Functional Analysis Classical Analysis and ODEs This paper explores woven frames in separable Hilbert spaces with an initial focus on the finite-dimensional case. We begin by simplifying the problem to bases, for which we obtain a unique characterization. We establish a condition that is both necessary and sufficient for vector reconstruction, which applies to Fourier matrices. Furthermore, we show that these characterizations are still valid in the infinite-dimensional case, for Riesz bases. Finally, we obtain several results for weaving Riesz bases of translations. |
| title | Weaving Riesz Bases |
| topic | Functional Analysis Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2404.02229 |