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Gadadhar Misra

  1. Resolution of singularities for a class of Hilbert modules.

    Fri, 03/26/2010 - 16:01 — SomNambul
    Authors: Shibananda Biswas, Gadadhar Misra
    Subjects: Functional Analysis
    Abstract

    A short proof of the "Rigidity theorem" using the sheaf theoretic model for
    Hilbert modules over polynomial rings is given. The joint kernel for a large
    class of submodules is described.

  2. Unitary invariants for Hilbert modules of finite rank.

    Fri, 09/11/2009 - 19:12 — SomNambul
    Authors: Shibananda Biswas, Gadadhar Misra, Mihai Putinar
    Subjects: Spectral Theory
    Abstract

    A refined notion of curvature for a linear system of Hermitian vector spaces,
    in the sense of Grothendieck, leads to the unitary classification of a large
    class of analytic Hilbert modules. Specifically, we study Hilbert sub-modules,
    for which the localizations are of finite (but not constant) dimension, of an
    analytic function space with a reproducing kernel.

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