1. Frame Scaling by Graphs
- Author
-
K, Ayyanar, Johnson, P. Sam, and Thilak, A. Senthil
- Subjects
Mathematics - Functional Analysis ,42C15, 05C50 - Abstract
In this paper, we investigate the scalability of a given frame in $\mathbb{R}^n$ by using graphs. For each frame $\phi$ in $\mathbb{R}^n$, we associate a simple undirected graph $G(\phi)$ and use it to verify the scalability of $\phi$. 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., Comment: 13 pages
- Published
- 2024