Advertisement

Abstract

This chapter has an introductory character. It presents a number of problems involving factorization of matrix- and operator-valued functions of different types. The functions considered appear as transfer functions of input output systems (Section 1.1), as characteristic functions of Hilbert space operators (Sections 1.2 and 1.3), as monic matrix polynomials (Section 1.4) or as symbols of Wiener-Hopf and singular integral equations of various types (Sections 1.5 and 1.6). For each of these classes the corresponding factorization is described. This chapter also motivates the state space setting for solving factorization problems.

Keywords

Transfer Function Invariant Subspace Toeplitz Operator Matrix Polynomial Operator Node 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Verlag AG 2008

Personalised recommendations