A hypersurface containing the support of a Radon transform must be an ellipsoid. I: The symmetric case

DOI10.1007/s12220-020-00372-8zbMath1469.44002arXiv1910.01725OpenAlexW3009604651MaRDI QIDQ2659517

Jan Boman

Publication date: 26 March 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.01725

zbMATH Keywords

Arnold's conjectureRadon transform supported in hypersurfacepolynomially integrable domain

Mathematics Subject Classification ID

Radon transform (44A12) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (5)

On separably integrable symmetric convex bodies ⋮ Algebroidally integrable bodies ⋮ A hypersurface containing the support of a Radon transform must be an ellipsoid. II: The general case ⋮ Symmetry from sectional integrals for convex domains ⋮ Regularity of a distribution and of the boundary of its support

Cites Work

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• On polynomially integrable convex bodies
• On Polynomially Integrable Domains in Euclidean Spaces
• On algebraically integrable bodies
• Newton's lemma XXVIII on integrable ovals in higher dimensions and reflection groups
• Functions of constant geodesic x-ray transform

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