Abstract
Semi-infinite block Toeplitz operators with rational matrix symbols are inverted explicitly by using the factorization method and by a method of reduction to singular systems with boundary conditions. The case of finite block Toeplitz matrices is also included. Fredholm characteristics are computed. All formulas are explicit and based on a realization of the symbol as a transfer function of a singular system.KeywordsFourier CoefficientToeplitz OperatorGeneralize InverseSingular SystemOpen Unit DiscThese 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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