Skip to the main content

Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 528=20, 2016.

Original scientific paper

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

Tomislav Berić orcid id orcid.org/0000-0001-7126-7376 ; Department of Mathematics, University of Zagreb, Bijenička 30, 10 000 Zagreb, Croatia

Full text: english pdf 173 Kb

page 71-81

downloads: 557

cite

Abstract

In this paper we describe some properties of the generalized Gram–Schmidt procedure (GGSP) for generating Parseval frames which was first introduced in [3]. Next we investigate the iterations of the procedure and its limit. In the end we give some examples of the iterated procedure.

Keywords

Finite-dimensional Hilbert space; Gram–Schmidt orthogonalization; linear dependence; Parseval frame; redundancy; iterations

Hrčak ID:

165786

URI

https://hrcak.srce.hr/165786

Publication date:

15.9.2016.

Visits: 1.322 *