The Spectral Theory of Convolution and Wiener-Hopf Operators.
Abstract
The major portion of the grant research was in the area of measure algebras. The cohomology groups of the spectrum of a measure algebra were characterized. This yielded an identification of (M sup-1-1)/exp (M) for a measure algebra M. In the case M = M(R) this yields a characterization of the spectrum of a Wiener-Hopf operator with measure kernel. Results were also obtained in the area of joint spectral theory for n-tuples was obtained and the corresponding analytic functional calculus developed. Using homological algebra, extensions of spectral theory to the non-commutative case were also obtained. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 14, 1972
- Accession Number
- AD0745990
Entities
People
- Joseph L. Taylor
Organizations
- University of Utah