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

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....

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Veröffentlicht in:arXiv.org 2004-04
Hauptverfasser: Gonzalez, Fulton B, Kakehi, Tomoyuki
Format: Artikel
Sprache:eng
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Zusammenfassung: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
ISSN:2331-8422