3 papers
math.FA2023
On approximation by tight wavelet frames on Vilenkin groups
Sergey Lukomskii, Iuliia Kruss, Alexandr Vodolazov
We consider the approximate properties of tight wavelet frames on Vilenkin group . Let be a main chain of subgroups, be a set of characters. We…
math.FA2017
How to construct wavelets on local fields of positive characteristic
Gleb Berdnikov, Iuliia Kruss, Sergey Lukomskii
We present an algorithm for construction step wavelets on local fields of positive characteristic.
math.NT2015
On orthogonal systems of shifts of scaling function on local fields of positive characteristic
Gleb Berdnikov, Iuliia Kruss, Sergey Lukomskii
We present a new method for constructing an orthogonal step scaling function on local fields of positive characteristic, which generates multiresolution analysis.