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

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

2004-04-02

arxiv.org/abs/math/0404036v1

Mathematics

Functional Analysis

Scientific paper

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 smooth functions on $G(p,n)$ to smooth functions on $G(q,n)$ arising from the inclusion incidence relation. When $p

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