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A remark on the weighted Radon transform on the plane

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  • We consider a class of weights on the plane for which the weighted Radon transform admits an inversion formula similar to the classical one. These transforms are naturally dual to the attenuated Radon.
    Mathematics Subject Classification: 44A12.


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  • [1]

    R. G. Novikov, An inversion formula for the attenuated X-ray transform, Ark. Mat., 40 (2002), 145-167.doi: doi:10.1007/BF02384507.


    I. M. Gelfand, S. G. Gindikin and Z. Ya. Shapiro, A local problem of integral geometry in a space of curves, Funct. Anal. Appl., 13 (1980), 87-102.doi: doi:10.1007/BF01077241.

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