Frame wavelet sets in R-d

    Authors

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

    Abbreviated Journal Title

    J. Comput. Appl. Math.

    Keywords

    frame; wavelet; frame wavelet; frame wavelet set; Fourier transform; Mathematics, Applied

    Abstract

    In this paper, we discuss the characterization of frame wavelet sets. We extend some results obtained earlier in the one-dimensional case. More specifically, we completely characterize tight frame wavelet sets in higher dimensions and obtain some necessary conditions and sufficient conditions for a set E to be a frame wavelet set in R-d. Several examples are presented and compared with those in the one-dimensional case. Using our results, one can easily construct various frame wavelet sets. (C) 2003 Published by Elsevier Science B.V.

    Journal Title

    Journal of Computational and Applied Mathematics

    Volume

    155

    Issue/Number

    1

    Publication Date

    1-1-2003

    Document Type

    Article; Proceedings Paper

    Language

    English

    First Page

    69

    Last Page

    82

    WOS Identifier

    WOS:000183206900005

    ISSN

    0377-0427

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