On Parseval wavelet frames via Multiresolution Analyses
Classical Analysis and ODEs
2016-11-10 v2
Abstract
We give a characterization of all Parseval wavelet frames arising from a given frame multiresolution analysis. As a consequence, we obtain a description of all Parseval wavelet frames associated with a frame multiresolution analysis. These results are based on a version of Unitary Extension Principle and Oblique Extension Principle with the assumption that the origin is a point of approximate continuity of the Fourier transform of the involved refinable functions.
Keywords
Cite
@article{arxiv.1611.00915,
title = {On Parseval wavelet frames via Multiresolution Analyses},
author = {A. San Antolin},
journal= {arXiv preprint arXiv:1611.00915},
year = {2016}
}