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Titlebook: Holomorphic Operator Functions of One Variable and Applications; Methods from Complex Israel Gohberg,Jürgen Leiterer Book 2009 Birkhäuser B

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Generalized interpolation problems,Here we prove further generalizations of the Weierstrass product theorem.
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Holomorphic equivalence, linearization and diagonalization,Let ., ., ., . be Banach spaces such that . is isomorphic to . and . is isomorphic to .. Let ⊆ ℂ be an open set, and let . : . → .(., .), . : . → .(., .) be two holomorphic functions. The functions . and . are called . over . if there exist holomorphic functions . : . → .(.,.) and . : . → .(., .) with invertible values such that
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Operator Theory: Advances and Applicationshttp://image.papertrans.cn/h/image/427955.jpg
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Plemelj-Muschelishvili factorization,it was invented in the beginning of the last century as a tool for solving the linear Riemann-Hilbert boundary problem in complex analysis, singular integral equations and systems of such equations. It serves also as a tool for solving Wiener-Hopf equations and systems of Wiener-Hopf equations, both
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Plemelj-Muschelishvili factorization,ntegral equations and systems of such equations. It serves also as a tool for solving Wiener-Hopf equations and systems of Wiener-Hopf equations, both discrete and continuous. For details see [GK] and [F].
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Splitting and factorization with respect to a contour,s and an example when this does not happen. We prove that functions from the algebras of Hölder, differentiable, and Wiener functions admit additive and multiplicative splittings inside these algebras under natural conditions. A local principle is also deduced.
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Holomorphic Operator Functions of One Variable and ApplicationsMethods from Complex
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