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Characterization of Low-pass Filters on Local Fields of Positive Characteristic

Published online by Cambridge University Press:  20 November 2018

Qaiser Jahan
Qaiser Jahan*
Affiliation:
Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, 208016, India e-mail: qaiser@iitk.ac.in
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Abstract

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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.

Keywords

42C4042C1543A7011S85multiresolution analysislocal fieldlow-pass filterscaling functionprobabilityconditional probability and martingales
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 59 , Issue 3 , 01 September 2016 , pp. 528 - 541
Copyright
Copyright © Canadian Mathematical Society 2016

References

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