Matching pursuits among shifted cauchy kernels in higher-dimensional spaces |
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| Authors: | Tao QIAN Jinxun WANG |
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| Institution: | Department of Mathematics, University of Macau, Macao, China; School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, China |
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| Abstract: | Appealing to the Clifford analysis and matching pursuits, we study the adaptive decompositions of functions of several variables of finite energy under the dictionaries consisting of shifted Cauchy kernels. This is a realization of matching pursuits among shifted Cauchy kernels in higher-dimensional spaces. It offers a method to process signals in arbitrary dimensions. |
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| Keywords: | Hardy space monogenic adaptive decomposition dictionary matching pursuit optimal approximation by rational functions |
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