Frame scaling function sets and frame wavelet sets in |
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| Authors: | Zhanwei Liu Guoen Hu Guochang Wu |
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| Affiliation: | aDepartment of Applied Mathematics, University of Information Engineering, Zhengzhou, Henan 450002, China;bSchool of Science, Xi’an Jiaotong University, Xi’an, Shanxi 710049, China |
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| 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. |
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