A noise of new type and its generalized functionals

@article{TakeyukiHida2011,
abstract = {The purpose of this paper is to introduce a new noise denoted by P'(u). It has the space parameter u, being compared with the usual noise depending on the time t. We first explain why such a noise arises naturally. Then, we come to the analysis of functionals of this new noise. We shall emphasize the significance of generalized functionals of P'(u), in particular, linear and quadratic.},
author = {Takeyuki Hida},
journal = {Banach Center Publications},
keywords = {new noise; white noise; Poisson noise; characteristic functional},
language = {eng},
number = {1},
pages = {207-214},
title = {A noise of new type and its generalized functionals},
url = {http://eudml.org/doc/281786},
volume = {96},
year = {2011},
}

TY - JOUR
AU - Takeyuki Hida
TI - A noise of new type and its generalized functionals
JO - Banach Center Publications
PY - 2011
VL - 96
IS - 1
SP - 207
EP - 214
AB - The purpose of this paper is to introduce a new noise denoted by P'(u). It has the space parameter u, being compared with the usual noise depending on the time t. We first explain why such a noise arises naturally. Then, we come to the analysis of functionals of this new noise. We shall emphasize the significance of generalized functionals of P'(u), in particular, linear and quadratic.
LA - eng
KW - new noise; white noise; Poisson noise; characteristic functional
UR - http://eudml.org/doc/281786
ER -