5 papers
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…
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…
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.
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.
Non-Haar MRA on local fields of positive characteristic
Sergey Lukomskii, Alexander Vodolazov
We propose a simple method to construct integral periodic mask and corresponding scaling step functions that generate non-Haar orthogonal MRA on the local field of posit…