The existence of subspace wavelet sets

    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; R-N; Mathematics, Applied

    Abstract

    Let H be a reducing subspace of L-2(R-d) that is, a closed subspace of L-2(R-d) with the property that f(A(m)t - l) is an element of H for any f is an element of H, m is an element of Z and l is an element of Z(d), where A is a d x d expansive matrix. It is known that H is a reducing subspace if and only if there exists a measurable subset M of R-d such that A(t)M = M and F(H) = L-2(R-d) (.) chi(M). Under some given conditions of M, it is known that there exist A-dilation subspace wavelet sets with respect to H. In this paper, we prove that this holds in general. (C) 2003 Elsevier Science B.V. All rights reserved.

    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

    83

    Last Page

    90

    WOS Identifier

    WOS:000183206900006

    ISSN

    0377-0427

    Share

    COinS