On Parseval Wavelet Frames via Multiresolution Analyses in
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 Oblique Extension...
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Published in | Canadian mathematical bulletin Vol. 63; no. 1; pp. 157 - 172 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Montreal
Cambridge University Press
01.03.2020
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Subjects | |
Online Access | Get full text |
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Summary: | 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 Oblique Extension Principle with the assumption that the origin is a point of approximate continuity of the Fourier transform of the involved refinable functions. Our results are written for reducing subspaces. |
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ISSN: | 0008-4395 1496-4287 |
DOI: | 10.4153/S0008439519000341 |