Frame scaling function sets and frame wavelet sets in Rd

Zhanwei Liu, Guoen Hu and Guochang Wu

Chaos, Solitons & Fractals, 2009, vol. 40, issue 5, 2483-2490

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:5:p:2483-2490

DOI: 10.1016/j.chaos.2007.10.042

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