Homogeneous approximation property for wavelet frames with matrix dilations, II

Authors
Zhao, Zhi Jing Sun, Wen Chang
Citation
Zhao, Zhi Jing et Sun, Wen Chang, Homogeneous approximation property for wavelet frames with matrix dilations, II, Acta mathematica Sinica. English series (Print) , 29(1), 2013, pp. 183-192
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
29
Issue
1
Year of publication
2013
Pages
183 - 192
Database
ACNP
SICI code
Abstract
The homogeneous approximation property (HAP) states that the number of building blocks involved in a reconstruction of a function up to some error is essentially invariant under time-scale shifts. In this paper, we show that every wavelet frame with nice wavelet function and arbitrary expansive dilation matrix possesses the HAP. Our results improve some known ones.