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Search: MSC category 43A70 ( Analysis on specific locally compact and other abelian groups [See also 11R56, 22B05] )

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1. CMB Online first

Jahan, Qaiser
Characterization of low-pass filters on local fields of positive characteristic
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 to the scaling function for multiresolution analysis of $L^2(K)$. We use probability and martingale methods to provide such a characterization.

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

2. CMB 1998 (vol 41 pp. 392)

Daly, James E.; Phillips, Keith L.
A note on $H^1$ multipliers for locally compact Vilenkin groups
Kitada and then Onneweer and Quek have investigated multiplier operators on Hardy spaces over locally compact Vilenkin groups. In this note, we provide an improvement to their results for the Hardy space $H^1$ and provide examples showing that our result applies to a significantly larger group of multipliers.

Categories:43A70, 44A35

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