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arXiv · 1611.00915

On Parseval wavelet frames via Multiresolution Analyses

A. San Antolin
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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.

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A. San Antolin. 2016-11-03. On Parseval wavelet frames via Multiresolution Analyses. https://arxiv.org/abs/1611.00915

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