Reconstructions from integrals over non-analytic manifolds

Victor Palamodov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The known integral transforms of Funk-Radon type are applied to manifolds which have algebraic structure (planes, spheres, ellipsoids, hyperboloids etc.). A variety of new exact reconstructions is described in this paper for integral transforms of Funk-Radon type on smooth hypersurfaces Xn properly embedded in space Rn+1 which is endowed with an additional structure.

Original languageEnglish
Article number2050061
JournalCommunications in Contemporary Mathematics
Issue number7
StatePublished - 1 Nov 2021


  • Funk-Radon transform
  • three-point condition
  • vanishing singular integrals


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