Analytic continuation of convex bodies and Funk's characterization of the sphere.

DOI10.2140/pjm.2001.201.309zbMath1090.52004OpenAlexW2065326464MaRDI QIDQ700620

Eric Todd Quinto, Eric L. Grinberg

Publication date: 22 October 2002

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2001.201.309

zbMATH Keywords

Radon transformcharacterization of the spherecross-section areasprojection areas

Mathematics Subject Classification ID

Radon transform (44A12) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30) Projective differential geometry (53A20)

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