Almost periodic factorization of block triangular matrix functions revisited

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Almost periodic factorization of certain block triangular matrix functions

Let G(x) = [ eIm 0 c−1e−iνx + c0 + c1e e−iλxIm ] , where cj ∈ Cm×m, α, ν > 0 and α+ ν = λ. For rational α/ν such matrices G are periodic, and their Wiener-Hopf factorization with respect to the real line R always exists and can be constructed explicitly. For irrational α/ν, a certain modification (called an almost periodic factorization) can be considered instead. The case of invertible c0 and ...

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ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 1999

ISSN: 0024-3795

DOI: 10.1016/s0024-3795(99)00041-5