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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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On Inversion of Fractional Spherical Potentials by Spherical Hypersingular Operators,A new proof of the inversion formula for spherical Riesz type fractional potentials in the case 0 <.2 is presented and a constructive reduction of the case lRa > 2 to the case 0 < lia < 2 is given.
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Albrecht Böttcher,Marinus A. Kaashoek,Frank-Olme S12th IWOTA-Proceedings traditionally published in the OT series.Selected and thoroughly refereed contributions
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On the Essential Spectrum of Toeplitz Operators with Semi-Almost Periodic Symbols,esult by Sarason enables us to decide whether the Toeplitz operator.λ) is Fredholm for a given point a in the plane, but the problem of characterizing the set of.λ for which.λ) is not Fredholm is nevertheless intricate. This question is studied in the present paper.
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Noncanonical Factorizations of Almost Periodic Multivariable Matrix Functions,the associated Toeplitz operators. The last section is devoted to uses of factorization for normalization of bases, an important problem in wavelets and other applications. Conjectures and open problems are stated.
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Invertibility of Functional Operators with Slowly Oscillating Non-Carleman Shifts,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 difficulty connected with slow oscillation is overcome by using the method of limit operators.
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An Axiomatic Approach to the Limit Operators Method,, we derive necessary and sufficient conditions for these operators to be semi-Fredholm or Fredholm. As another application, we obtain necessary and sufficient conditions for the semi-Fredholmness and Fredholmness of pseudodifferential operators.
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