Javad Mashreghi

  1. On a characterization of finite Blaschke products.

    Authors: Emmanuel Fricain, Javad Mashreghi
    Subjects: Complex Variables
    Abstract

    We study the convergence of a sequence of finite Blaschke products of a fix
    order toward a rotation. This would enable us to get a better picture of a
    characterization theorem for finite Blaschke products.

  2. Bounded symbols and reproducing kernel thesis for truncated Toeplitz operators.

    Authors: A. Baranov, Isabelle Chalendar, Emmanuel Fricain, Javad Mashreghi, Dan Timotin
    Subjects: Functional Analysis
    Abstract

    Compressions of Toeplitz operators to coinvariant subspaces of $H^2$ are
    called \emph{truncated Toeplitz operators}. We study two questions related to
    these operators. The first, raised by Sarason, is whether boundedness of the
    operator implies the existence of a bounded symbol; the second is the
    reproducing kernel thesis. We show that in general the answer to the first
    question is negative, and we exhibit some classes of spaces for which the
    answers to both questions are positive.

  3. Bounded symbols and reproducing kernel thesis for truncated Toeplitz operators.

    Authors: A. Baranov, Isabelle Chalendar, Emmanuel Fricain, Javad Mashreghi, Dan Timotin
    Subjects: Functional Analysis
    Abstract

    Compressions of Toeplitz operators to coinvariant subspaces of $H^2$ are
    called \emph{truncated Toeplitz operators}. We study two questions related to
    these operators. The first, raised by Sarason, is whether boundedness of the
    operator implies the existence of a bounded symbol; the second is the
    reproducing kernel thesis. We show that in general the answer to the first
    question is negative, and we exhibit some classes of spaces for which the
    answers to both questions are positive.

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