On the Orthogonality of Frames and the Density and Connectivity of Wavelet Frames

    Authors

    D. G. Han;D. R. Larson

    Comments

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    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

    WOS:000266918300013

    ISSN

    0167-8019

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