A nonlinear deformation of Wiener space
文献类型：期刊论文
| 作者 | Luo, SL
|
| 刊名 | JOURNAL OF THEORETICAL PROBABILITY
 |
| 出版日期 | 1998-04-01 |
| 卷号 | 11期号:2页码:331-350 |
| 关键词 | Wiener space Poincare disc Bergman measure quasi invariance ergodicity integration by parts orthogonal decomposition |
| ISSN号 | 0894-9840 |
| 英文摘要 | Based on the complex hyperbolic geometry associated with discrete series of SU(1, 1), we construct a quasi-invariant and ergodic measure on infinite product of Poincare disc and a hyperbolic analogue of numerical Wiener space which turns out to be a nonlinear deformation of the Wiener space. An integration by parts formula is established. We also investigate the orthogonal decomposition of the L-2-holomorphic functions which is an analogue of the Wiener-Ito-Segal decomposition. In the zero-curvature and large spin limit, we recover the linear Wiener space. |
| 语种 | 英语 |
| WOS记录号 | WOS:000073666000002 |
| 出版者 | PLENUM PUBL CORP |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13832]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Luo, SL |
| 作者单位 | Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Luo, SL. A nonlinear deformation of Wiener space[J]. JOURNAL OF THEORETICAL PROBABILITY,1998,11(2):331-350. |
| APA | Luo, SL.(1998).A nonlinear deformation of Wiener space.JOURNAL OF THEORETICAL PROBABILITY,11(2),331-350. |
| MLA | Luo, SL."A nonlinear deformation of Wiener space".JOURNAL OF THEORETICAL PROBABILITY 11.2(1998):331-350. |
入库方式： OAI收割
来源：数学与系统科学研究院
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