Title

The existence of subspace wavelet sets

Authors

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

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