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Block Toeplitz Operators


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  • Product Description

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 and 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.

Product Specifications
SKU :COC49007
AuthorAbraham Konegerie
Number of Pages80
Publishing Year2010-09-27T00:00:00.000
Edition1 st
Book TypeReal analysis, real variables
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-04-08 00:00:00