Range characterization of spherical Radon transforms and unique continuation property

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• Venky Krishnan (Tata Institute of Fundamental Research)
• Friday 26 May 2023, 15:00-16:00
• Seminar Room 2, Newton Institute.

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RNT - Rich and Nonlinear Tomography - a multidisciplinary approach

We consider spherical Radon transform on functions supported in the unit ball in odd dimensional Euclidean space with spheres whose centers are restricted to the unit sphere. We study the range characterization of those functions independent of the angular variable. As an application, we prove lack of unique continuation property for such spherical Radon transforms. This is a joint work with Divyansh Agrawal (TIFR CAM , India), Gaik Ambartsoumian (University of Texas at Arlington, USA ) and Nisha Singhal (TIFR CAM , India).

This talk is part of the Isaac Newton Institute Seminar Series series.

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