Products and transforms of white-noise functionals (in general setting) |
| |
| Authors: | J A Yan |
| |
| Institution: | (1) Institute of Applied Mathematics, Academia Sinica, 100080 Beijing, People's Republic of China |
| |
| Abstract: | Some sharp results about Weiner and Wick products of whitenoise functionals are obtained. Using the inequality of Wick products we show to what extent scaling transformations, translations, and Sobolev differentiations can be performed on white-noise functionals.This work was supported by the National Natural Science Foundation of China. This paper is an enlargement and revised version of the paper entitled  Products and Transforms of White-Noise Functionals (preprint, 1990). |
| |
| Keywords: | White-noise analysis Wiener and Wick products Wick tensor power Scaling transformation Translation Sobolev derivative Gradient operator |
| 本文献已被 SpringerLink 等数据库收录！ |
