Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2408.02007 |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866910554960953344 |
|---|---|
| author | K, Ayyanar Johnson, P. Sam Thilak, A. Senthil |
| author_facet | K, Ayyanar Johnson, P. Sam Thilak, A. Senthil |
| contents | In this paper, we investigate the scalability of a given frame in $\mathbb{R}^n$ by using graphs. For each frame $ϕ$ in $\mathbb{R}^n$, we associate a simple undirected graph $G(ϕ)$ and use it to verify the scalability of $ϕ$. We provide some necessary conditions to test the scalability of a given frame. Finally, we study the scalability of some special classes of frames by using graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02007 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Frame Scaling by Graphs K, Ayyanar Johnson, P. Sam Thilak, A. Senthil Functional Analysis 42C15, 05C50 In this paper, we investigate the scalability of a given frame in $\mathbb{R}^n$ by using graphs. For each frame $ϕ$ in $\mathbb{R}^n$, we associate a simple undirected graph $G(ϕ)$ and use it to verify the scalability of $ϕ$. We provide some necessary conditions to test the scalability of a given frame. Finally, we study the scalability of some special classes of frames by using graphs. |
| title | Frame Scaling by Graphs |
| topic | Functional Analysis 42C15, 05C50 |
| url | https://arxiv.org/abs/2408.02007 |