The existence of subspace wavelet sets
Abbreviated Journal Title
J. Comput. Appl. Math.
frame; wavelet; frame wavelet; frame wavelet set; Fourier transform; R-N; Mathematics, Applied
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 of Computational and Applied Mathematics
Article; Proceedings Paper
"The existence of subspace wavelet sets" (2003). Faculty Bibliography 2000s. 2557.