Title
On The Orthogonality Of Frames And The Density And Connectivity Of Wavelet Frames
Keywords
Density and connectivity; Fourier Bessel multipliers; Orthogonal frames; Strongly disjoint frames; Wavelet Bessel sequences; Wavelet frames
Abstract
We examine some recent results of Bownik on density and connectivity of the wavelet frames. We use orthogonality (strong disjointness) properties of frame and Bessel sequences, and also properties of Bessel multipliers (operators that map wavelet Bessel functions to wavelet Bessel functions). In addition we obtain an asymptotically tight approximation result for wavelet frames. © 2009 Springer Science+Business Media B.V.
Publication Date
7-1-2009
Publication Title
Acta Applicandae Mathematicae
Volume
107
Issue
1-3
Number of Pages
211-222
Document Type
Article; Proceedings Paper
Personal Identifier
scopus
DOI Link
https://doi.org/10.1007/s10440-008-9420-2
Copyright Status
Unknown
Socpus ID
67650882998 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/67650882998
STARS Citation
Han, Deguang and Larson, David R., "On The Orthogonality Of Frames And The Density And Connectivity Of Wavelet Frames" (2009). Scopus Export 2000s. 12131.
https://stars.library.ucf.edu/scopus2000/12131