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E. K. Narayanan

  1. Support theorem on R^n and non compact symmetric spaces.

    Tue, 02/23/2010 - 16:01 — SomNambul
    Authors: E. K. Narayanan, Amit Samanta
    Subjects: Functional Analysis
    Abstract

    We consider convolution equations of the type f * T = g where f, g are in
    L^p(R^n) and T is a compactly supported distribution. Under natural assumptions
    on the zero set of the Fourier transform of T we show that f is compactly
    supported, provided g is. Similar results are proved for non compact symmetric
    spaces as well.

  2. Benedick's theorem for the Heisenberg group.

    Thu, 09/10/2009 - 10:12 — SomNambul
    Authors: E. K. Narayanan, P. K. Ratnakumar
    Subjects: Functional Analysis
    Abstract

    If $f$ is a compactly supported function on the Heisenberg group and the
    group Fourier transform $\hat{f}(\lambda)$ is a finite rank operator for all
    $\lambda$ then $f$ is the zero function.

  3. Benedick's theorem for the Heisenberg group.

    Thu, 09/10/2009 - 10:12 — SomNambul
    Authors: E. K. Narayanan, P. K. Ratnakumar
    Subjects: Functional Analysis
    Abstract

    If $f$ is a compactly supported function on the Heisenberg group and the
    group Fourier transform $\hat{f}(\lambda)$ is a finite rank operator for all
    $\lambda$ then $f$ is the zero function.

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