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CONTINUITY OF AFFINE TRANSFORMATIONS OF WHITE-NOISE TEST FUNCTIONALS AND APPLICATIONS
KUO, HH; POTTHOFF, J; YAN, JA
1992-11-01
Source PublicationSTOCHASTIC PROCESSES AND THEIR APPLICATIONS
ISSN0304-4149
Volume43Issue:1Pages:85-98
AbstractTranslations 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.
KeywordWHITE NOISE ANALYSIS AFFINE TRANSFORMATION WIENER SEMIGROUP FRECHET DERIVATIVE HIDA DISTRIBUTION TEST FUNCTIONAL
Language英语
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:A1992JV54200006
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/27233
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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