Characterizations of multi-knot piecewise linear spectral sequences
文献类型：期刊论文
| 作者 | Li, Haitao; Yan, Dunyan |
| 刊名 | ADVANCES IN COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2007-11-01 |
| 卷号 | 27期号:4页码:401-422 |
| ISSN号 | 1019-7168 |
| 关键词 | spectral sequence orthogonal basis trigonometric basis |
| DOI | 10.1007/s10444-005-9006-8 |
| 英文摘要 | We study two classes of orthonormal bases for L-2[0, 1] in this paper. The exponential parts of these bases are multi-knot piecewise linear functions. These bases are called spectral sequences. Characterizations of these multi-knot piecewise linear functions are provided. We also consider an opposite problem for single-knot piecewise linear spectral sequences, where the piecewise linear functions are defined on [0, theta) and [theta, 1]. We show that such spectral sequences do not exist except for theta = 1/2. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | SPRINGER |
| WOS记录号 | WOS:000250403900003 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4324]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, Haitao |
| 作者单位 | 1.Chinese Acad Railway Sci, Ctr Res & Dev, Beijing 100081, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Chinese Acad Sci, Grad Sch, Sch Informat Sci & Engn, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Haitao,Yan, Dunyan. Characterizations of multi-knot piecewise linear spectral sequences[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2007,27(4):401-422. |
| APA | Li, Haitao,&Yan, Dunyan.(2007).Characterizations of multi-knot piecewise linear spectral sequences.ADVANCES IN COMPUTATIONAL MATHEMATICS,27(4),401-422. |
| MLA | Li, Haitao,et al."Characterizations of multi-knot piecewise linear spectral sequences".ADVANCES IN COMPUTATIONAL MATHEMATICS 27.4(2007):401-422. |
入库方式： OAI收割
来源：数学与系统科学研究院
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