Monday, May 8, 2023 4pm
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Abstract: It was proved in \cite{K-2014} that the sup-norm of the Radon transform of an arbitrary probability density on an origin-symmetric convex body of volume 1 is bounded from below by a positive constant depending only on the dimension. In this note, we extend this result to the Laplacian of the Radon transform. We also provide a comparison theorem for the Laplacian.
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