Gaussian kernel operators on white noise functional spaces

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	Gaussian kernel operators on white noise functional spaces
	Luo, SL; Yan, JA
	2000-10-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	43 期号:10 页码:1067-1074
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.
关键词	Gaussian kernel operators symbols Laplacians
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000165149300009
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15142
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.