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Titlebook: Singular Integral Operators, Factorization and Applications; International Worksh Albrecht Böttcher,Marinus A. Kaashoek,Frank-Olme S Confer

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Conference proceedings 2003ugal, September 12-15, in the year 2000. The main topics of the conference were !> Factorization Theory; !> Factorization and Integrable Systems; !> Operator Theoretical Methods in Diffraction Theory; !> Algebraic Techniques in Operator Theory; !> Applications to Mathematical Physics and Related Top
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Well-Posedness of Diffraction Problems Involving n Coplanar Strips,etical way. They are considered as boundary-transmission problems in a Sobolev space setting. Conditions are presented in order to obtain existence and uniqueness of the solution and continuous dependence on the data.
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Factorization of Matrix Functions and the Resolvents of Certain Operators,stant, is studied. To this purpose some relations between a factorization of A. and the resolvents of the self-adjoint operators.are analyzed. The main idea is to show that if b is a matrix function that can be represented through the decomposition . = .. + ..where at least one of the summands is a
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Finite Difference Cauchy-Riemann Operators and Their Fundamental Solutions in the Complex Case, the help of the discrete Fourier transform the fundamental solution of these difference operators is calculated. The approximation error of the fun-damental solution can be estimated in the space . . as well as in the space . ..
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Invertibility of Functional Operators with Slowly Oscillating Non-Carleman Shifts, functions on (0, 1), I is the identity operator, W,, is the shift operator, . . . ○ α, generated by a non-Carleman shift α : [0,1] → [0,1] which has only two fixed points 0 and 1. We suppose that log a’ is bounded and continuous on (0, 1) and that a, b, a’ slowly oscillate at 0 and 1. The main diff
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Hadamard-Type Integral Equations and Fractional Calculus Operators,e existence of a solution . of this equation in the space . ., (.) of Lebesgue measurable functions . on (.) such that .. Explicit formulas for the solution f(x) are established. We also describe properties of the Hadamard-type fractional integrals defined by the left-hand side of the above equation
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