Moment Conditions and Support Theorems for Radon Transforms on Affine Grassmann Manifolds

Fulton B. Gonzalez, Tomoyuki Kakehi

Let $G(p,n)$ and $G(q,n)$ be the affine Grassmann manifolds of $p$- and $q$- planes in ${\mathbb{R}}^n$, respectively, and let ${\mathcal{R}}^{(p,q)}$ be the Radon transform from smoo…