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Titlebook: Systems, Approximation, Singular Integral Operators, and Related Topics; International Worksh Alexander A. Borichev,Nikolai K. Nikolski Con

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Threshold Effects near the Lower Edge of the Spectrum for Periodic Differential Operators of Mathem have this form. The effects that depend only on a rough behavior of the spectral decomposition of . in a small neighborhood of zero are called threshold effects at λ = O. An example of a threshold effect is the behavior of a DO in the small period limit Another example is related to the negative di
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,Cauchy’s Singular Integral Operator and Its Beautiful Spectrum,s, Wiener-Hopf and singular integral equations. While the boundedness of . has been studied for many decades, final results on the spectrum of . were obtained only in recent times. During the last few years, it was discovered that there is a surprising and undreamt-of metamorphosis of the (local) sp
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The Bargmann isometry and Gabor-Daubechies wavelet localization operators,ith . the Bargmann isometry. For more general w, and some interesting classes of “symbols” ., I discuss some new equivalences of the form . where . is a constant-coefficient linear differential operator with constant term 0. One consequence is that there is a φ of modulus one with L.=0 a for w. norm
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Stabilization of irrational transfer functions by controllers with internal loop,well-posed transfer functions: the usual one, as in Figure 3, and a more general one called stabilization with internal loop, see Figure 4. In both cases we obtain a complete parametrization of all stabilizing controllers in terms of a doubly coprime factorization of the original transfer function.
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Some remarks on spherical isometries, We review recent classification and invariant subspace results concerning spherical isometries. Then we discuss some pathological examples which show that, in general, even the simplest properties of isometries do not persist in this extension to several variables Finally we propose a general class
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Hyperbolicity of semigroups and Fourier multipliers,solvent of the generator. Hyperbolicity with respect to classical solutions is also considered. Our approach unifies and simplifies the M. Kaashoek-S. Verduyn Lunel theory and multiplier-type results previously obtained by S. Clark, M. Hieber, S. Montgomery-Smith, F. Räbiger, T. Randolph, and L. Wei
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