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

Jahan, Qaiser

Canadian mathematical bulletin, Tome 59 (2016) no. 3, pp. 528-541

Résumé

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.

Détail

DOI : 10.4153/CMB-2016-027-9

Mots-clés : 42C40, 42C15, 43A70, 11S85, multiresolution analysis, local field, low-pass filter, scaling function, probability, conditional probability and martingales

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