3 papers
math.FA2017
Discrete Riesz MRA on local fields of positive characteristic
G. S. Berdnikov, S. F. Lukomskii
We propose a method to construct Riesz MRA on local fields of positive characteristic and corresponding scaling step functions that generate it.
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.