1. CMB 2016 (vol 59 pp. 528)
||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)
||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.