Convolution Operators and Factorization of Almost Periodic Matrix Functions: 131 (Operator Theory: Advances and Applications, 131) - Hardcover

Böttcher, Albrecht; Karlovich, Yuri I.; Spitkovsky, Ilya M.

 
9783764366728: Convolution Operators and Factorization of Almost Periodic Matrix Functions: 131 (Operator Theory: Advances and Applications, 131)
Hardcover
ISBN 10: 3764366729 ISBN 13: 9783764366728
Publisher: Birkhauser Verlag AG, 2002

Synopsis

This volume provides 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 factorisation and almost periodic factorization. These factorisations are systematically investigated and explicitly constructed for interesting concrete classes of matrix functions. The material covered by this book ranges from classical results through to a first comprehensive presentation of the core of the theory of almost periodic factorization up to the latest achievements, such as the construction of factorisations by means of the Portuguese transformation and the solution of corona theorems. This 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 should be of interest to those who have to deal with the factorization of operators or matrix functions.

"synopsis" may belong to another edition of this title.

Synopsis

This volume provides 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 factorisation and almost periodic factorization. These factorisations are systematically investigated and explicitly constructed for interesting concrete classes of matrix functions. The material covered by this book ranges from classical results through to a first comprehensive presentation of the core of the theory of almost periodic factorization up to the latest achievements, such as the construction of factorisations by means of the Portuguese transformation and the solution of corona theorems. This 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 should be of interest to those who have to deal with the factorization of operators or matrix functions.

About the Author

Bottcher of the Technical University of Chemnitz, Germany

"About this title" may belong to another edition of this title.

Publisher
Birkhauser Verlag AG
Publication date
2002
Language
English
ISBN 10 
3764366729
ISBN 13 
9783764366728
Binding
Hardcover
Number of pages
473

Other Popular Editions of the Same Title

9783034894579: Convolution Operators and Factorization of Almost Periodic Matrix Functions: 131 (Operator Theory: Advances and Applications, 131)

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ISBN 10:  3034894570 ISBN 13:  9783034894579
Publisher: Birkhäuser, 2012
Softcover