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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.
math.NT2014
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…