Non-Haar MRA on local fields of positive characteristic

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:433

Article

Lukomskii, S. F.¹  Vodolazov, A. M.¹ 

[1] NG Chernyshevskii Saratov State Univ, Saratov, Russia

关键词: Local fields;    Multiresolution analysis;    Wavelet bases;    Trees;   

DOI  :  10.1016/j.jmaa.2015.08.051

来源: Elsevier

【 摘 要 】

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) 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). Second, we construct scaling function by arbitrary tree that has ps vertices. By fixed prime number p there exist p(s(Ps-2)) such trees. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free