Title of article
A hyperfinite flat integral for generalized random fields
Author/Authors
Jianglun Wu، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
11
From page
133
To page
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.
Keywords
White noise , Generalized random fields , Hyperfinite flat integral representation , Loeb measures
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
935644
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