LINEAR TRANSFORMATIONS OF A FUNCTIONAL INTEGRAL, II
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 = U(I + A) where U is unitary and A non-singular and HilbertSchmidt but with no traceability condition imposed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1962
- Accession Number
- AD0292915
Entities
People
- Thomas I. Seidman
Organizations
- University of Wisconsin–Madison