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L. Golinskii

  1. A Blaschke-type condition for analytic functions on finitely connected domains. Applications to complex perturbations of a finite-band selfadjoint operator.

    Tue, 06/07/2011 - 15:01 — SomNambul
    Authors: L. Golinskii, S. Kupin
    Subjects: Spectral Theory
    Abstract

    This is a sequel of a recent article by Borichev-Golinskii-Kupin, where the
    authors obtain Blaschke-type conditions for special classes of analytic
    functions in the unit disk which satisfy certain growth hypotheses. These
    results were applied to get Lieb-Thirring inequalities for complex compact
    perturbations of a selfadjoint operator with a simply connected resolvent set.

  2. The scattering problem in Ryckman's class of Jacobi matrices.

    Tue, 02/16/2010 - 16:01 — SomNambul
    Authors: P. Yuditskii, L. Golinskii, A. Kheifets
    Subjects: Complex Variables
    Abstract

    We give a complete solution of the scattering problem for Jacobi matrices
    from a class which was recently introduced by E. Ryckman. We characterize the
    scattering data for this class and illustrate the inverse scattering on some
    simple examples.

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