Localized frames are finite unions of Riesz sequences
type: Item
instance of: scholarly article
title: Localized frames are finite unions of Riesz sequences
zbMATH Open document ID: 1019.42019
DOI: 10.1023/A:1021368609918
published in: Advances in Computational Mathematics
publication date: 2003-04-10T00:00:00Z
review text: Feichtinger conjectured that every frame can be decomposed into a finite union of Riesz sequences. While the full conjecture remains open, the author proves it for frames satisfying a certain localization property. This abstract condition turns out to be satisfied for (irregular) Gabor systems generated by a function in a specified modulation space, and for the reproducing kernel frame associated to a shift-invariant space.
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 42C15
zbMATH DE Number: 1896700
zbMATH Keywords: frame decomposition
zbMATH Keywords: Riesz sequences
zbMATH Keywords: localization property
zbMATH Keywords: Gabor systems
zbMATH Keywords: modulation space
zbMATH Keywords: reproducing kernel frame
zbMATH Keywords: shift-invariant space
author: Karlheinz Gröchenig
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1896700