A Characterization of Multidimensional Multi-knot Piecewise Linear Spectral Sequence and Its Applications  

作　　者：Xiao Na CUI Xu LIU Rui WANG Dun Yan YAN 

机构地区：[1]School of Mathematical Sciences, University of Chinese Academy of Sciences [2]School of Applied Mathematics, Jilin University of Finance and Economics [3]School of Mathematics, Jilin University

出　　处：《Acta Mathematica Sinica,English Series》2013年第9期1679-1690,共12页数学学报（英文版）

基　　金：supported by Science and Technology Research Project of Jilin Provincial Department of Education of China (Grant No. 2011175);supported by National Natural Science Foundation of China (Grant Nos. 11071250 and 11126149),supported by National Natural Science Foundation of China (Grant Nos. 11071250 and 11271162);Guangdong Provincial Government of China through the "Computational Science Innovative Research Team" program

摘　　要：We characterize a class of piecewise linear spectral sequences. Associated with the spectral sequence, we construct an orthonormal exponential bases for L2（[0,1）d）, which are called generalized Fourier bases. Moreover, we investigate the convergence of Bochner-Riesz means of the generalized Fourier series.We characterize a class of piecewise linear spectral sequences. Associated with the spectral sequence, we construct an orthonormal exponential bases for L2（[0,1）d）, which are called generalized Fourier bases. Moreover, we investigate the convergence of Bochner-Riesz means of the generalized Fourier series.

关 键 词：Spectral sequences orthonormal exponential bases convergence analysis Bochner-Riesz means 

分 类 号：O174.21[理学—数学]