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Search: MSC category 44A12 ( Radon transform [See also 92C55] )

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1. CMB 2011 (vol 55 pp. 815)

Oberlin, Daniel M.
Restricted Radon Transforms and Projections of Planar Sets
We establish a mixed norm estimate for the Radon transform in $\mathbb{R}^2$ when the set of directions has fractional dimension. This estimate is used to prove a result about an exceptional set of directions connected with projections of planar sets. That leads to a conjecture analogous to a well-known conjecture of Furstenberg.

Categories:44A12, 28A78

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