Scale-invariant measurability in abstract Wiener spaces
Dong Myung Chung · Pacific Journal of Mathematics · 1987
In this paper, we first prove a limit theorem for a sequence of quadratic functional on an abstract Wiener space which generalizes a Cameron-Martin limit theorem in the Wiener space; and next we prove a version of a converse measurability theorem for the Wiener space in the setting of abstract Wiener spaces.Using these results, we discuss scaleinvariant measurability and translations in an abstract Wiener space.