Non-Haar MRA on local fields of positive characteristic

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 F(s)F(s) of positive characteristic p  . To construct this mask we use two new ideas. First, we consider local field as vector space over the finite field GF(ps)GF(ps). Second, we construct scaling function by arbitrary tree that has psps vertices. By fixed prime number p   there exist ps(ps−2)ps(ps−2) such trees.