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Paley-Wiener theorem for exponential Radon transform

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Abstract

The exponential Radon transform on the plane arises in single photon emission computed tomography. It differs from the usual Radon transform by an exponential weight along the line of integration. The full description of the image of the transform in the space of compactly supported smooth functions is given. This description is connected with some curious identities for the sin function.

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Authors and Affiliations

  1. Department of Mathematics, Voronezh Institute of Forestry Technology, 8 Timiryazev Street, 394613, Voronezh, U.S.S.R.

    Peter A. Kuchment & Sergey Ya. L'Vin

Authors
  1. Peter A. Kuchment
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  2. Sergey Ya. L'Vin
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Kuchment, P.A., L'Vin, S.Y. Paley-Wiener theorem for exponential Radon transform. Acta Appl Math 18, 251–260 (1990). https://doi.org/10.1007/BF00049128

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  • DOI: https://doi.org/10.1007/BF00049128

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