Convolution operators and factorization of almost periodic matrix functions

Description

This book is an introduction to convolution operators with matrix-valued almost periodic or semi-almost periodic symbols.The basic tools for the treatment of the operators are Wiener-Hopf factorization and almost periodic factorization. These factorizations are systematically investigated and explicitly constructed for interesting concrete classes of matrix functions. The material covered by the book ranges from classical results through a first comprehensive presentation of the core of the theory of almost periodic factorization up to the latest achievements, such as the construction of factorizations by means of the Portuguese transformation and the solution of corona theorems. The book is addressed to a wide audience in the mathematical and engineering sciences. It is accessible to readers with basic knowledge in functional, real, complex, and harmonic analysis, and it is of interest to everyone who has to deal with the factorization of operators or matrix functions.

Subjects

Series Statement

• Operator theory, advances and applications -- v. 131

Other Editions

• Convolution operators and factorization of almost periodic matrix functionsBirkhäuser Verlag2002-01-01
• Convolution Operators and Factorization of Almost Periodic Matrix Functions (Operator Theory: Advances and Applications)HardcoverBirkhäuser Basel2002-04-29
• Convolution Operators and Factorization of Almost Periodic Matrix FunctionsBirkhauser Verlag2012-01-01
• Convolution Operators and Factorization of Almost Periodic Matrix FunctionspaperbackSpringer2012-10-23