Frames associated with measurable spaces
type: Item
instance of: scholarly article
title: Frames associated with measurable spaces
zbMATH Open document ID: 1033.42036
DOI: 10.1023/A:1021312429186
author: Jean-Pierre Gabardo
author: Deguang Han
published in: Advances in Computational Mathematics
publication date: 2003-04-10T00:00:00Z
review text: The paper deals with extensions of results for discrete frames to the setting of continuous frames. Characterizations of continuous frames are derived, as well as conditions for two continuous frames to be similar. Furthermore, a dilation-type result for continuous frames is proved: it states that a continuous frame is a projection of a ``Riesz-type frame'' for a larger space. Finally, a perturbation result by Casazza and Christensen is generalized to the continuous setting.
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 42C15
zbMATH DE Number: 1896699
zbMATH Keywords: discrete frames
zbMATH Keywords: continuous frames
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1896699