REDUCIBILITY OF THE WAVELET REPRESENTATION ASSOCIATED TO THE CANTOR SET

    Authors

    D. E. Dutkay;S. Silvestrov

    Comments

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    Abbreviated Journal Title

    Proc. Amer. Math. Soc.

    Keywords

    Wavelet representation; quadrature mirror filter; Cantor set; GENERALIZED MULTIRESOLUTION ANALYSES; OPERATORS; SYSTEMS; Mathematics, Applied; Mathematics

    Abstract

    We answer a question by Judith Packer about the irreducibility of the wavelet representation associated to the Cantor set. We prove that if the QMF filter does not have constant absolute value, then the wavelet representation is reducible.

    Journal Title

    Proceedings of the American Mathematical Society

    Volume

    139

    Issue/Number

    10

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    3657

    Last Page

    3664

    WOS Identifier

    WOS:000295432600025

    ISSN

    0002-9939

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