English

On root frames in $\mathbb{R}^d$

General Mathematics 2022-04-20 v1

Abstract

\emph{A root frame} for Rd\mathbb{R}^d is a finite frame whose vectors form a root system. In this note we establish some elementary properties of this class of frames and prove that root frames constitute a subclass of scalable frames. In addition, we show that root frames are examples of a larger class of frames called \emph{eigenframes}.

Keywords

Cite

@article{arxiv.2204.08576,
  title  = {On root frames in $\mathbb{R}^d$},
  author = {Mostafa Maslouhi and Kasso A. Okoudjou},
  journal= {arXiv preprint arXiv:2204.08576},
  year   = {2022}
}