English

Remarks on scalable frames

Functional Analysis 2022-11-22 v1

Abstract

This paper investigates scalable frame in Rn{\mathbb R}^n. We define the reduced diagram matrix of a frame and use it to classify scalability of the frame under some conditions. We give a new approach to the scaling problem by breaking the problem into two smaller ones, each of which is easily solved, giving a simple way to check scaling. Finally, we study the scalability of dual frames.

Keywords

Cite

@article{arxiv.2211.11105,
  title  = {Remarks on scalable frames},
  author = {Peter G. Casazza and Laura De Carli and Tin T. Tran},
  journal= {arXiv preprint arXiv:2211.11105},
  year   = {2022}
}