Titlebook: Convolution Operators and Factorization of Almost Periodic Matrix Functions; Albrecht B?ttcher,Yuri I. Karlovich,Ilya M. Spitko Book 2002

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Book 2002 presented in a series of classical and recent monographs. Symbols beyond piecewise continuous symbols have discontinuities of oscillating type. Such symbols emerge very naturally. For example, difference operators are nothing but convolution operators with almost periodic symbols: the operator defined by (A

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A framework for describing worktions of matrix functions into a product a_ua.in which a+ are invertible analytic matrix functions and u is a unitary matrix function. We therefore conclude this chapter by collecting some results on the Fredholmness and invertibility of Wiener-Hopf operators with unitary-valued symbols.

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Matrix Wiener-Hopf Operators with APW Symbols,ce. After that we employ the Bochner-Phillips theorem on the inverse closedness of certain matrix algebras in order to prove that the invertibility of the latter operator implies the canonical right APW factorability of a.

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