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

Socpus ID

67650882998 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/67650882998

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