English

A quantitative notion of redundancy for infinite frames

Functional Analysis 2010-06-15 v1

Abstract

Bodmann, Casazza and Kutyniok introduced a quantitative notion of redundancy for finite frames - which they called {\em upper and lower redundancies} - that match better with an intuitive understanding of redundancy for finite frames in a Hilbert space. The objective of this paper is to see how much of this theory generalizes to infinite frames.

Keywords

Cite

@article{arxiv.1006.2678,
  title  = {A quantitative notion of redundancy for infinite frames},
  author = {Jameson Cahill and Peter G. Casazza and Andreas Heinecke},
  journal= {arXiv preprint arXiv:1006.2678},
  year   = {2010}
}
R2 v1 2026-06-21T15:35:49.875Z