Lobachevskii Journal of Mathematics

, Volume 32, Issue 4, pp 241–246 | Cite as

Reconstruction of measures in the space of planes

Article

Abstract

In the present paper we consider the problem of inversion of the integral equation which naturally arises in the theory of measures generated by flag densities. We solve this equation by integral geometry methods and propose an inversion formula for the density of the measure in the space of planes in terms of its flag density.

Keywords and phrases

integral geometry integral equation flag density 

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Copyright information

© Pleiades Publishing, Ltd. 2011

Authors and Affiliations

  1. 1.Institute of Mathematics Armenian Academy of SciencesRussian-Armenian (Slavonic) UniversityYerevanArmenia

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