An improvement of Papadakis' theorem
文献类型：期刊论文
| 作者 | Zhang, ZH; Mu, LH; Zhang, PX |
| 刊名 | PROGRESS IN NATURAL SCIENCE
 |
| 出版日期 | 2004-05-01 |
| 卷号 | 14期号:5页码:448-452 |
| 关键词 | scaling function generalized MRA dimension function |
| ISSN号 | 1002-0071 |
| 英文摘要 | There exist many orthonormal wavelets which cannot be derived by multiresolution analysis (MRA) with a single scaling function. In 2000, Papadakis announced that any orthonormal wavelet is derived by a generalized MRA with countable scaling functions at most. We improve Papadakis' theorem and find that for any othonormal wavelet, the least number of the corresponding scaling functions is just the essential supremum of the dimension function of the orthonormal wavelet. Moreover, we construct directly the fewest scaling functions. |
| WOS研究方向 | Materials Science ; Science & Technology - Other Topics |
| 语种 | 英语 |
| WOS记录号 | WOS:000221600300011 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19271]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Mu, LH |
| 作者单位 | 1.Shandong Univ, Dept Math, Jinan 250100, Peoples R China 2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, ZH,Mu, LH,Zhang, PX. An improvement of Papadakis' theorem[J]. PROGRESS IN NATURAL SCIENCE,2004,14(5):448-452. |
| APA | Zhang, ZH,Mu, LH,&Zhang, PX.(2004).An improvement of Papadakis' theorem.PROGRESS IN NATURAL SCIENCE,14(5),448-452. |
| MLA | Zhang, ZH,et al."An improvement of Papadakis' theorem".PROGRESS IN NATURAL SCIENCE 14.5(2004):448-452. |
入库方式： OAI收割
来源：数学与系统科学研究院
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