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

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...

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Bibliographic Details
Published in:	Acta mathematica Sinica. English series Vol. 29; no. 9; pp. 1679 - 1690
Main Authors:	Cui, Xiao Na, Liu, Xu, Wang, Rui, Yan, Dun Yan
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01-09-2013 Springer Nature B.V
Subjects:	Applied mathematics Construction Convergence Fourier analysis Fourier series Knots Mathematical functions Mathematical models Mathematics Mathematics and Statistics Riesz平均 Science Sequences Spectra Spectral lines Studies Theorems 傅立叶级数分段线性多结多维应用特征谱序列 Bochner-Riesz means Spectral sequences 42B35 convergence analysis 42B20 orthonormal exponential bases
Online Access:	Get full text
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