CONTINUITY OF AFFINE TRANSFORMATIONS OF WHITE-NOISE TEST FUNCTIONALS AND APPLICATIONS

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	CONTINUITY OF AFFINE TRANSFORMATIONS OF WHITE-NOISE TEST FUNCTIONALS AND APPLICATIONS
	KUO, HH ; POTTHOFF, J ; YAN, JA
	1992-11-01
发表期刊	STOCHASTIC PROCESSES AND THEIR APPLICATIONS
ISSN	0304-4149
卷号	43 期号:1 页码:85-98
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.
关键词	WHITE NOISE ANALYSIS AFFINE TRANSFORMATION WIENER SEMIGROUP FRECHET DERIVATIVE HIDA DISTRIBUTION TEST FUNCTIONAL
语种	英语
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:A1992JV54200006
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/27233
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.