English

Iterations of the generalized Gram-Schmidt procedure for generating Parseval frames

Functional Analysis 2016-02-29 v1

Abstract

In this paper we describe some properties of the generalized Gram-Schmidt procedure (GGSP) for generating Parseval frames which was first introduced by Casazza and Kutyniok [A generalization of Gram-Schmidt orthogonalization generating all Parseval frames, Adv. Comput. Math. 27 (2007), pp. 65-78]. Next we investigate the iterations of the procedure and its limit. In the end we give some examples of the iterated procedure.

Cite

@article{arxiv.1602.08279,
  title  = {Iterations of the generalized Gram-Schmidt procedure for generating Parseval frames},
  author = {Tomislav Berić},
  journal= {arXiv preprint arXiv:1602.08279},
  year   = {2016}
}

Comments

10 pages, 3 figures

R2 v1 2026-06-22T12:58:30.590Z