MULTIRESOLUTION ANALYSIS, SELF-SIMILAR TILINGS AND HAAR WAVELETS ON THE HEISENBERG GROUP  

作　　者：刘和平 刘宇 王海辉 

机构地区：[1]LMAM, School of Mathematical Sciences, Peking University [2]Department of Mathematics and Mechanics, School of Applied Science, University of Science and Technology Beijing [3]Department of Applied Mathematics, Beihang University

出　　处：《Acta Mathematica Scientia》2009年第5期1251-1266,共16页数学物理学报（B辑英文版）

基　　金：Sponsored by the NSFC (10871003, 10701008, 10726064);the Specialized Research Fund for the Doctoral Program of Higher Education of China (2007001040)

摘　　要：In this article, the properties of multiresolution analysis and self-similar tilings on the Heisenberg group are studied. Moreover, we establish a theory to construct an orthonormal Haar wavelet base in L^2（H^d） by using self-similar tilings for the acceptable dilations on the Heisenberg group.In this article, the properties of multiresolution analysis and self-similar tilings on the Heisenberg group are studied. Moreover, we establish a theory to construct an orthonormal Haar wavelet base in L^2（H^d） by using self-similar tilings for the acceptable dilations on the Heisenberg group.

关 键 词：Heisenberg group multiresolution analysis WAVELETS self-similar tilings 

分 类 号：O152[理学—数学]