A hyperfinite flat integral for generalized random fields

doi:10.1016/j.jmaa.2006.07.080

Details of Research Outputs

Status	已发表Published
Title	A hyperfinite flat integral for generalized random fields
Creator	Wu, Jianglun
Date Issued	2007-06-01
Source Publication	Journal of Mathematical Analysis and Applications
ISSN	0022-247X
Volume	330 Issue:1 Pages:133-143
Abstract	In this paper, a nonstandard construction of generalized white noise is established. This provides a (hyperfinite) flat integral representation of probability measures for generalized random fields derived as image probability measures of generalized white noise under certain measurable transformations, including Euclidean random fields obtained as convolution from generalized white noise with Euclidean kernels. © 2006 Elsevier Inc. All rights reserved.
Keyword	Generalized random fields Hyperfinite flat integral representation Loeb measures White noise
DOI	10.1016/j.jmaa.2006.07.080
URL	View source
Indexed By	SCIE
Language	英语English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied ; Mathematics
WOS ID	WOS:000247015800010
Scopus ID	2-s2.0-33846896447
Citation statistics	Cited Times [WOS]:0 [WOS Record] [Related Records in WOS]
Document Type	Journal article
Identifier	http://repository.uic.edu.cn/handle/39GCC9TT/10535
Collection	Research outside affiliated institution
Corresponding Author	Wu, Jianglun
Affiliation	Department of Mathematics,University of Wales Swansea,Singleton Park,Swansea, SA2 8PP,United Kingdom
Recommended Citation GB/T 7714	Wu, Jianglun. A hyperfinite flat integral for generalized random fields[J]. Journal of Mathematical Analysis and Applications, 2007, 330(1): 133-143.
APA	Wu, Jianglun. (2007). A hyperfinite flat integral for generalized random fields. Journal of Mathematical Analysis and Applications, 330(1), 133-143.
MLA	Wu, Jianglun."A hyperfinite flat integral for generalized random fields". Journal of Mathematical Analysis and Applications 330.1(2007): 133-143.

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