EUCLIDEAN RANDOM-FIELDS OBTAINED BY CONVOLUTION FROM GENERALIZED WHITE-NOISE

	EUCLIDEAN RANDOM-FIELDS OBTAINED BY CONVOLUTION FROM GENERALIZED WHITE-NOISE
	ALBEVERIO, S ; WU, JL
刊名	JOURNAL OF MATHEMATICAL PHYSICS
	1995-10-01
卷号	36 期号:10 页码:5217-5245
ISSN号	0022-2488
英文摘要	We study Euclidean random fields X over R(d) of the form X = G*F, where F is a generalized white noise over R(d) and G is an integral kernel. We give conditions for the existence of the characteristic functional and moment functions and we construct a convergent lattice approximation of X. Finally, we perform the analytic continuation of the moment functions and the characteristic functional of X, obtaining the corresponding relativistic functions on Minkowski space. (C) 1995 American Institute of Physics.
WOS研究方向	Physics
语种	英语
出版者	AMER INST PHYSICS
WOS记录号	WOS:A1995RY62200002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/2743]
专题	中国科学院数学与系统科学研究院
通讯作者	ALBEVERIO, S
作者单位	1.ACAD SINICA, INST APPL MATH, BEIJING 100080, PEOPLES R CHINA 2.CERFIM, LOCARNO, SWITZERLAND
推荐引用方式 GB/T 7714	ALBEVERIO, S,WU, JL. EUCLIDEAN RANDOM-FIELDS OBTAINED BY CONVOLUTION FROM GENERALIZED WHITE-NOISE[J]. JOURNAL OF MATHEMATICAL PHYSICS,1995,36(10):5217-5245.
APA	ALBEVERIO, S,&WU, JL.(1995).EUCLIDEAN RANDOM-FIELDS OBTAINED BY CONVOLUTION FROM GENERALIZED WHITE-NOISE.JOURNAL OF MATHEMATICAL PHYSICS,36(10),5217-5245.
MLA	ALBEVERIO, S,et al."EUCLIDEAN RANDOM-FIELDS OBTAINED BY CONVOLUTION FROM GENERALIZED WHITE-NOISE".JOURNAL OF MATHEMATICAL PHYSICS 36.10(1995):5217-5245.