Abstract
We shall prove the existence of the Wiener integral and the analytic Wiener and Feynman integral and we obtain those relationships and later, we prove the change of scale formula for the Wiener integral about the first variation of a function defined on the product abstract Wiener space. Later, we obtain those relationships in the Fresnel class as it’s corollaries.
Funder
National Research Foundation
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference19 articles.
1. The behavior of measure and measurability under change of scale in Wiener space
2. The translation pathology of Wiener space
3. Relationships between the Wiener integral and the analytic Feynman integral;Cameron;Supplemento Rendicoti Circolo Matematico Palermo Serie II Numero,1988
4. Change of scale formulas for Wiener integral;Cameron;Supplemento Rendicoti Circolo Matematico Palermo Serie II Numero,1987
5. A change of scale formula for Wiener integrals on abstract Wiener spaces