Block Toeplitz Operators: Operators with Rational Symbols and Discrete Singular Systems pdf
eBook By Abraham Konegerie / DMCA

Block Toeplitz Operators: Operators With Rational Symbols And Discrete Singular Systems

In this dissertation we study the modern state space method for inverting semi-infinite block Toeplitz operators with rational matrix symbols explicitly from the representation of its symbol in realization form. The method for constructing explicit formulas for the inverse of a semi-infinite block Toeplitz operator with rational symbol is well-known for rational matrix functions that are analytic ...

Paperback: 80 pages
Publisher: LAP LAMBERT Academic Publishing (September 27, 2010)
Language: English
ISBN-10: 3843351910
ISBN-13: 978-3843351911
Product Dimensions: 5.9 x 0.2 x 8.7 inches
Amazon Rank: 12938455
Format: PDF Text TXT ebook

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nd invertible at infinity. However, in this work, we emphasize the case where the matrix function does not have these properties at infinity. In the main results in Chapter 2 we give necessary and sufficient conditions for the equivalence between block Toeplitz operators with rational symbol and discrete singular systems with boundary conditions. We also deal with the special case of finite block Toeplitz matrices. Different Fredholm characteristics are computed in Chapter 3, and a Riemann-Hilbert problem is solved as an application. This book should be useful to individuals who study Operator Theory in Mathematics and Control Sytems in Engineering.