Gaussian kernel operators on white noise functional spaces
文献类型：期刊论文
| 作者 | Luo, SL ; Yan, JA
|
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
 |
| 出版日期 | 2000-10-01 |
| 卷号 | 43期号:10页码:1067-1074 |
| 关键词 | Gaussian kernel operators symbols Laplacians |
| ISSN号 | 1006-9283 |
| 英文摘要 | The Gaussian kernel operators on white noise functional spaces, including second quantization, Fourier-Mehler transform, scaling, renormalization, etc. are studied by means of symbol calculus, and characterized by the intertwining relations with annihilation and creation operators. The infinitesimal generators of the Gaussian kernel operators are second order white noise operators of which the number operator and the Gross Laplacian are particular examples. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000165149300009 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15141]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Luo, SL |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Luo, SL,Yan, JA. Gaussian kernel operators on white noise functional spaces[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2000,43(10):1067-1074. |
| APA | Luo, SL,&Yan, JA.(2000).Gaussian kernel operators on white noise functional spaces.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,43(10),1067-1074. |
| MLA | Luo, SL,et al."Gaussian kernel operators on white noise functional spaces".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 43.10(2000):1067-1074. |
入库方式： OAI收割
来源：数学与系统科学研究院
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