Matrix Convolution Operators on Groups

• Main Author: Chu, Cho-Ho (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Lecture Notes in Mathematics, 1956
• Subjects: Mathematics.; Nonassociative rings.; Rings (Algebra).; Harmonic analysis.; Functional analysis.; Functions of complex variables.; Operator theory.; Differential geometry.; Functions of a Complex Variable.; Differential Geometry.; Functional Analysis.; Operator Theory.; Abstract Harmonic Analysis.; Non-associative Rings and Algebras.

In the last decade, convolution operators of matrix functions have received unusual attention due to their diverse applications. This monograph presents some new developments in the spectral theory of these operators. The setting is the Lp spaces of matrix-valued functions on locally compact groups....

Table of Contents:

• Lebesgue Spaces of Matrix Functions
• Matrix Convolution Operators
• Convolution Semigroups.