Wavelets with frame multiresolution analysis

    Authors

    X. Dai; Y. Diao; Q. Gu;D. Han

    Abbreviated Journal Title

    J. Fourier Anal. Appl.

    Keywords

    wavelets; MRA wavelets; frame wavelets; frame MRA wavelets; R-N; SETS; Mathematics, Applied

    Abstract

    A frame multiresolution (FMRA for short) orthogonal wavelet is a single-function orthogonal wavelet such that the associated scaling space V-0 admits a normalized tight frame (under translations). In this article, we prove that for any expansive matrix A with integer entries, there exist A-dilation FMRA orthogonal wavelets. FMRA orthogonal wavelets for some other expansive matrix with non integer entries are also discussed.

    Journal Title

    Journal of Fourier Analysis and Applications

    Volume

    9

    Issue/Number

    1

    Publication Date

    1-1-2003

    Document Type

    Article

    Language

    English

    First Page

    39

    Last Page

    48

    WOS Identifier

    WOS:000180868600003

    ISSN

    1069-5869

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