Integrals and Transforms in Function Space.
Abstract
A unified theory that includes ordinary calculus, theory of differential equations and theory of stochastic differential equations has been developed. Problems relating to classifying probability space were studied. Necessary and sufficient conditions were found for the operator equation BX-XA=Q, where B, A are self-adjoint operators in the space, beta(H), of bounded operators on a complex Hilbert space, Q belongs to beta(H), to have a solution in beta (H). Research on resonance problems focused on the question of the meaning, interpretation, and approximation of resonances (i.e., poles of a continued resolvent on S-matrix.) Gaussian processes, especially such processes in which the time parameter was in Euclidean n-space were studied. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1973
- Accession Number
- AD0756505
Entities
People
- E. J. Mcshane
Organizations
- University of Virginia