Title
On the Orthogonality of Frames and the Density and Connectivity of Wavelet Frames
Abbreviated Journal Title
Acta Appl. Math.
Keywords
Fourier Bessel multipliers; Wavelet frames; Wavelet Bessel sequences; Strongly disjoint frames; Orthogonal frames; Density and connectivity; OPERATOR-ALGEBRAS; SUPER-WAVELETS; GABOR FRAMES; REPRESENTATIONS; SET; SYSTEMS; Mathematics, Applied
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 Besselmultipliers (operators that map wavelet Bessel functions to wavelet Bessel functions). In addition we obtain an asymptotically tight approximation result for wavelet frames.
Journal Title
Acta Applicandae Mathematicae
Volume
107
Issue/Number
1-3
Publication Date
1-1-2009
Document Type
Article; Proceedings Paper
Language
English
First Page
211
Last Page
222
WOS Identifier
ISSN
0167-8019
Recommended Citation
"On the Orthogonality of Frames and the Density and Connectivity of Wavelet Frames" (2009). Faculty Bibliography 2000s. 1618.
https://stars.library.ucf.edu/facultybib2000/1618
Comments
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