3 papers
math.FA2022
p-adic tight wavelet frames
Sergey Lukomskii, Aleksandr Vodolazov
We propose a simple method to construct step mask and corresponding step wavelet functions that generate tight wavelet frames on the field of p-adic numbers. To construct tight wav…
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.