Title
Wavelets With Frame Multiresolution Analysis
Keywords
Frame MRA wavelets; Frame wavelets; MRA wavelets; Wavelets
Abstract
A frame multiresolution (FMRA for short) orthogonal wavelet is a single-function orthogonal wavelet such that the associated scaling space V0 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.
Publication Date
1-1-2003
Publication Title
Journal of Fourier Analysis and Applications
Volume
9
Issue
1
Number of Pages
39-48
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1007/s00041-003-0001-5
Copyright Status
Unknown
Socpus ID
0037230378 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/0037230378
STARS Citation
Dai, X.; Diao, Y.; and Gu, Q., "Wavelets With Frame Multiresolution Analysis" (2003). Scopus Export 2000s. 2225.
https://stars.library.ucf.edu/scopus2000/2225
