# Gegenbauer-Chebyshev Integrals and Radon Transforms

Mon, 04/05/2015 - 14:00
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Abstract:
The Radon transform $R$ assigns to a function $f$ on $R^n$  a collection
of integrals of that function over   hyperplanes in $R^n$. Suppose
that $Rf$ vanishes on  all hyperplanes that do not meet a fixed convex
set. {\it Does it follow that $f$ is zero in the exterior of that set?}
I am planning to discuss new results related to this question and  the
corresponding injectivity problems. If time allows, some   projectively
equivalent modifications of $R$ will be considered.