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Get Access to Full TextSome problems in convexity theory lead to integral equations, generalizing Radon transform on the sphere. We propose a consistency method for the solution of these integral equations. Using this method we find an explicit inversion formula, yielding a practical algorithm to solve the considered equations.
Keywords: Radon transform; integral transforms; integral geometry; consistency method
Published Online: 2010-07-26
Published in Print: 2010-07-01
Citation Information: Analysis International mathematical journal of analysis and its applications, Volume 30, Issue 3, Pages 271–284, ISSN (Print) 0174-4747, DOI: https://doi.org/10.1524/anly.2010.1032.
© by Oldenbourg Wissenschaftsverlag, Yerevan, Germany.
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