Accession Number:

AD0292915

Title:

LINEAR TRANSFORMATIONS OF A FUNCTIONAL INTEGRAL, II

Descriptive Note:

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1962-10-01

Pagination or Media Count:

1.0

Abstract:

It was proved in Seidman, T. I., Linear Transformations of a Functional Integral, I Comm. Pure and Appl. Math., Vol. XII, No. 4 1959, that the measure on the countable direct product of real lines wth identical normally distributed measures, transforms with a specified RadonNikodym derivative to an equivalent mutually absolutely continuous measure under li ear transformations of the form T I A with A a non-singular, Hilbert-Schmidt operator with finite trace evaluated with respect to the canonical basis. We shall extend this result to transformations of the form T UI A where U is unitary and A non-singular and HilbertSchmidt but with no traceability condition imposed. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE