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Frame Scaling by Graphs
- Publication Year :
- 2024
-
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.<br />Comment: 13 pages
- Subjects :
- Mathematics - Functional Analysis
42C15, 05C50
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2408.02007
- Document Type :
- Working Paper