Wavelets with frame multiresolution analysis
Abbreviated Journal Title
J. Fourier Anal. Appl.
wavelets; MRA wavelets; frame wavelets; frame MRA wavelets; R-N; SETS; Mathematics, Applied
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 of Fourier Analysis and Applications
"Wavelets with frame multiresolution analysis" (2003). Faculty Bibliography 2000s. 2555.