  We provide conditions for exact reconstruction of a bandlimited function from
irregular polar samples of its Radon transform. First, we prove that the Radon
transform is a continuous L2-operator for certain classes of bandlimited
signals. We then show that the Beurling-Malliavin condition for the radial
sampling density ensures existence and uniqueness of a solution. Moreover,
Jaffard's density condition is sufficient for stable reconstruction.
