TY  - JOUR
ID  - Estrada2016
LB  - Estrada2016
AU  - Estrada, Ricardo
TI  - A two cones support theorem
ST  - A two cones support theorem
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2016
VL  - 36
IS  - 2
SP  - 207
EP  - 213
DO  - http://dx.doi.org/10.7494/OpMath.2016.36.2.207
UR  - http://dx.doi.org/10.7494/OpMath.2016.36.2.207
AB  - We show that if the Radon transform of a distribution \(f\) vanishes outside of an acute cone \(C_{0}\), the support of the distribution is contained in the union of \(C_{0}\) and another acute cone \(C_{1}\), the cones are in a suitable position, and \(f\) vanishes distributionally in the direction of the axis of \(C_{1}\), then actually \(\operatorname*{supp}f\subset C_{0}\). We show by examples that this result is sharp.
KW  - Radon transforms
KW  - support theorems
KW  - distributions
SN  - 1232-9274
ER  -