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The role of canonical factorization in solving convolution equations

  • Harm Bart
  • Marinus A. Kaashoek
  • André C. M. Ran
Part of the Operator Theory: Advances and Applications book series (OT, volume 200)

Abstract

This chapter has a preparatory character. We review (without giving proofs) the role of canonical factorization in inverting systems of convolution equations. The chapter consists of three sections. Section 1.1 deals with Wiener-Hopf integral equations, Section 1.2 with block Toeplitz equations, and Section 1.3 with singular integral equations.

Keywords

Matrix Function Toeplitz Operator Singular Integral Equation Inverse Fourier Transform Singular Integral Operator 
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.

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Copyright information

© Birkhäuser/Springer Basel AG 2010

Authors and Affiliations

  • Harm Bart
    • 1
  • Marinus A. Kaashoek
    • 2
  • André C. M. Ran
    • 2
  1. 1.Econometrisch InstituutErasumus Universiteit RotterdamRotterdamThe Netherlands
  2. 2.Department of Mathematics, FEWVrije UniversiteitAmsterdamThe Netherlands

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