Oversampling generates super-wavelets

    Authors

    D. E. Dutkay;P. Jorgensen

    Comments

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    Abbreviated Journal Title

    Proc. Amer. Math. Soc.

    Keywords

    wavelet; frame; sampling; oversampling; affine; scaling; lattice; interpolation; dilations; extensions; super wavelets; operators; frames; Hilbert space; FRAMES; Mathematics, Applied; Mathematics

    Abstract

    We show that the second oversampling theorem for a. ne systems generates super-wavelets. These are frames generated by an a. ne structure on the space L-2(R-d) circle plus(...)circle plus L-2(R-d)/p times.

    Journal Title

    Proceedings of the American Mathematical Society

    Volume

    135

    Issue/Number

    7

    Publication Date

    1-1-2007

    Document Type

    Article

    Language

    English

    First Page

    2219

    Last Page

    2227

    WOS Identifier

    WOS:000245149700034

    ISSN

    0002-9939

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