Remarks on the general Funk-Radon transform and thermoacoustic tomography

Victor Palamodov

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Remarks on the general Funk-Radon transform and thermoacoustic tomography

Victor Palamodov

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Abstract

We study properties of the general integral transform defined for a family of hypersurfaces in a smooth manifold. Estimates of Sobolev norms, range conditions and approximation theorem for the kernel of the integral transform are stated. Applications to the spherical mean transform that appears in thermo/opto/photoacoustic tomography are discussed.

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Victor Palamodov. 2007-01-07. Remarks on the general Funk-Radon transform and thermoacoustic tomography. https://arxiv.org/abs/math/0701204

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