Accession Number:

AD0745990

Title:

The Spectral Theory of Convolution and Wiener-Hopf Operators.

Descriptive Note:

Final rept.,

Corporate Author:

UTAH UNIV SALT LAKE CITY DEPT OF MATHEMATICS

Personal Author(s):

• Taylor,Joseph L.

Report Date:

1972-07-14

Pagination or Media Count:

8.0

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-1-1exp 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

Descriptors:

• *ALGEBRA
• MEASURE THEORY
• OPERATORS(MATHEMATICS)
• GROUPS(MATHEMATICS)
• ALGEBRAIC TOPOLOGY

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE