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Characterization of Low-pass Filters on Local Fields of Positive Characteristic
Published online by Cambridge University Press: 20 November 2018
Abstract
In this article, we give necessary and sufficient conditions on a function to be a low-pass filter on a local field $K$ of positive characteristic associated with the scaling function for multiresolution analysis of ${{L}^{2}}\left( K \right)$. We use probability and martingale methods to provide such a characterization.
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- Research Article
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- Copyright © Canadian Mathematical Society 2016
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