Orthonormal bases associated with multi-knot piecewise linear function sequences on [0,1) n

被引：0

作者：

Li, Yu Lan ^{[2
]}

Yan, Dun Yan ^{[1
]}

机构：

[1] Chinese Acad Sci, Grad Univ, Sch Informat Sci & Engn, Beijing 100190, Peoples R China

[2] Shanghai High Sch 989, Shanghai 200231, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2009年 / 25卷 / 11期

基金：

中国国家自然科学基金;

关键词：

spectral sequences; orthonormal basis; Fourier basis; SPECTRUM; SERIES;

D O I：

10.1007/s10114-009-7702-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate two classes of orthonormal bases for L (2)([0, 1) (n) ). The exponential parts of those bases are multi-knot piecewise linear functions which are called spectral sequences. We characterize the multi-knot piecewise linear spectral sequences and give an application of the first class of piecewise linear spectral sequences.

引用

页码：1835 / 1848

页数：14

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