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S. Kupin

  1. On the growth of the polynomial entropy integrals for the measures in the Szego class.

    Пнд, 12/26/2011 - 15:01 — SomNambul
    Authors: S. Denisov, S. Kupin
    Subjects: Classical Analysis and ODEs
    Abstract

    For the polynomials orthogonal on the unit circle with respect to the measure
    from the Szego class we prove that the polynomial entropy integrals can grow.
    The estimate obtained is sharp.

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

    Втр, 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.

  3. Ito diffusions, modified capacity and harmonic measure. Applications to Schrodinger operators.

    Пнд, 12/20/2010 - 16:01 — SomNambul
    Authors: S. Denisov, S. Kupin
    Subjects: Analysis of PDEs
    Abstract

    Using certain Ito's equation, we introduce the probability on the space of
    paths and show its relevance to the scattering properties of multidimensional
    Schrodinger operator. To relate the geometry of the support of potential to the
    spectral type we develop a special variant of Potential theory and prove some
    estimates on the modified Harmonic measure.

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