Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1889319 | Chaos, Solitons & Fractals | 2009 | 8 Pages |
Abstract
In this paper, we classify frame wavelet sets and frame scaling function sets in higher dimensions. Firstly, we obtain a necessary condition for a set to be the frame wavelet sets. Then, we present a necessary and sufficient condition for a set to be a frame scaling function set. We give a property of frame scaling function sets, too. Some corresponding examples are given to prove our theory in each section.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Zhanwei Liu, Guoen Hu, Guochang Wu,