The Spectral Theory of Convolution and Wiener-Hopf Operators.
UTAH UNIV SALT LAKE CITY DEPT OF MATHEMATICS
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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-1-1exp M for a measure algebra M. In the case M MR 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
- Theoretical Mathematics