CONTINUITY OF AFFINE TRANSFORMATIONS OF WHITE-NOISE TEST FUNCTIONALS AND APPLICATIONS
文献类型：期刊论文
| 作者 | KUO, HH; POTTHOFF, J; YAN, JA
|
| 刊名 | STOCHASTIC PROCESSES AND THEIR APPLICATIONS
 |
| 出版日期 | 1992-11-01 |
| 卷号 | 43期号:1页码:85-98 |
| 关键词 | WHITE NOISE ANALYSIS AFFINE TRANSFORMATION WIENER SEMIGROUP FRECHET DERIVATIVE HIDA DISTRIBUTION TEST FUNCTIONAL |
| ISSN号 | 0304-4149 |
| 英文摘要 | Translations and scalings defined on the Schwartz space of tempered distributions induce continuous transformations on the space of white noise test functionals [25]. Continuity of the induced transformations with respect to their parameters is proved. As a consequence one obtains a direct simple proof of the fact that the space of white noise test functionals is infinitely differentiable in Frechet sense, Moreover, it is shown that the Wiener semigroup acts as a mollifier on the space of test functionals. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:A1992JV54200006 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/27232]  |
| 专题 | 应用数学研究所 |
| 作者单位 | 1.LOUISIANA STATE UNIV,DEPT MATH,BATON ROUGE,LA 70803 2.UNIV BIELEFELD,BIBOS,W-4800 BIELEFELD,GERMANY 3.CHINESE ACAD SCI,INST APPL MATH,BEIJING,PEOPLES R CHINA |
| 推荐引用方式 GB/T 7714 | KUO, HH,POTTHOFF, J,YAN, JA. CONTINUITY OF AFFINE TRANSFORMATIONS OF WHITE-NOISE TEST FUNCTIONALS AND APPLICATIONS[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS,1992,43(1):85-98. |
| APA | KUO, HH,POTTHOFF, J,&YAN, JA.(1992).CONTINUITY OF AFFINE TRANSFORMATIONS OF WHITE-NOISE TEST FUNCTIONALS AND APPLICATIONS.STOCHASTIC PROCESSES AND THEIR APPLICATIONS,43(1),85-98. |
| MLA | KUO, HH,et al."CONTINUITY OF AFFINE TRANSFORMATIONS OF WHITE-NOISE TEST FUNCTIONALS AND APPLICATIONS".STOCHASTIC PROCESSES AND THEIR APPLICATIONS 43.1(1992):85-98. |
入库方式： OAI收割
来源：数学与系统科学研究院
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