摘要
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.
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.
基金
supported by Macao FDCT(098/2012/A3)
Research Grant of the University of Macao(UL017/08-Y4/MAT/QT01/FST)
National Natural Science Funds for Young Scholars(10901166)
Sun Yat-sen University Operating Costs of Basic ResearchProjects to Cultivate Young Teachers(11lgpy99)
