Multiresolution analysis on product of zero-dimensional Abelian groups

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:385

Article

Lukomskii, S. F.

关键词: p-Adic numbers;    Zero-dimensional groups;    Multiresolution analysis;    Dilation operator;    Wavelet bases;   

DOI  :  10.1016/j.jmaa.2011.07.043

来源: Elsevier

【 摘 要 】

For a product of locally compact zero-dimensional groups (G, +), we describe dilation operators and build the corresponding multiresolution analysis. We prove also that any nonsingular matrix A(dxd) over the field Z(p) defines a dilation operator in G(d). (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free