Two radius support theorem for the sphere transform

DOI10.1006/jmaa.2000.7219zbMath0974.44002OpenAlexW2047037678MaRDI QIDQ5927718

Yiying Zhou

Publication date: 15 May 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7219

zbMATH Keywords

injectivityradius theoremsradon sphere transformsupport theorem

Mathematics Subject Classification ID

Radon transform (44A12) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Integral geometry (53C65)

Related Items (4)

The extension problem for functions with zero weighted spherical means ⋮ On functions on a sphere with zero integrals over circumferences with fixed radius ⋮ On functions on the sphere with zero integrals over geodesics ⋮ Morera theorems for complex manifolds

Cites Work

• Moyennes généralisées
• A local version of the two-circles theorem
• Pompeiu transforms on geodesic spheres in real analytic manifolds
• Injectivity sets for the Radon transform over circles and complete systems of radial functions
• The converse of Gauß's theorem for harmonic functions
• Analyticity and the Pompeiu problem
• Hyperfunctions and pseudo-differential equations. Proceedings of a conference at Katata, 1971
• Offbeat Integral Geometry
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