• Suparna Sen

      Articles written in Proceedings – Mathematical Sciences

    • Segal-Bargmann Transform and Paley-Wiener Theorems on $M(2)$

      E K Narayanan Suparna Sen

      More Details Abstract Fulltext PDF

      We study the Segal–Bargmann transform on $M(2)$. The range of this transform is characterized as a weighted Bergman space. In a similar fashion Poisson integrals are investigated. Using a Gutzmer’s type formula we characterize the range as a class of functions extending holomorphically to an appropriate domain in the complexification of $M(2)$. We also prove a Paley–Wiener theorem for the inverse Fourier transform.

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