期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1998
卷号：21
DOI：10.1155/S0161171298000088
出版社：Hindawi Publishing Corporation
摘要：The purpose of this paper is to establish the existence of analytic Wiener and
Feynman integrals for a class of certain cylinder functions which is of the form:
F(x)=f((h1,x)∼,⋯,(hn,x)∼),    x∈B,
on the abstract Wiener space, and to establish the relationship between the Wiener integral and
the analytic Feynman integral for such cylinder functions on the abstract Wiener space. We
then establish a change of scale formula for Wiener integrals of such cylinder functions on the
abstract Wiener space.
