Title
Wavelets with frame multiresolution analysis
Abbreviated Journal Title
J. Fourier Anal. Appl.
Keywords
wavelets; MRA wavelets; frame wavelets; frame MRA wavelets; R-N; SETS; Mathematics, Applied
Abstract
A frame multiresolution (FMRA for short) orthogonal wavelet is a single-function orthogonal wavelet such that the associated scaling space V-0 admits a normalized tight frame (under translations). In this article, we prove that for any expansive matrix A with integer entries, there exist A-dilation FMRA orthogonal wavelets. FMRA orthogonal wavelets for some other expansive matrix with non integer entries are also discussed.
Journal Title
Journal of Fourier Analysis and Applications
Volume
9
Issue/Number
1
Publication Date
1-1-2003
Document Type
Article
Language
English
First Page
39
Last Page
48
WOS Identifier
ISSN
1069-5869
Recommended Citation
"Wavelets with frame multiresolution analysis" (2003). Faculty Bibliography 2000s. 2555.
https://stars.library.ucf.edu/facultybib2000/2555