Geodesic
Characterization of Low-pass Filters on Local Fields of Positive Characteristic
Canadian mathematical bulletin, Tome 59 (2016) no. 3, pp. 528-541

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DOI

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.
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 
Jahan, Qaiser. Characterization of Low-pass Filters on Local Fields of Positive Characteristic. Canadian mathematical bulletin, Tome 59 (2016) no. 3, pp. 528-541. doi: 10.4153/CMB-2016-027-9
@article{10_4153_CMB_2016_027_9,
     author = {Jahan, Qaiser},
     title = {Characterization of {Low-pass} {Filters} on {Local} {Fields} of {Positive} {Characteristic}},
     journal = {Canadian mathematical bulletin},
     pages = {528--541},
     year = {2016},
     volume = {59},
     number = {3},
     doi = {10.4153/CMB-2016-027-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-027-9/}
}
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