EUCLIDEAN RANDOM-FIELDS OBTAINED BY CONVOLUTION FROM GENERALIZED WHITE-NOISE | |
ALBEVERIO, S; WU, JL | |
刊名 | JOURNAL OF MATHEMATICAL PHYSICS
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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. |
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