On Sets that are Uniquely Determined by a Restricted Set of Integrals

DOI10.2307/2001708zbMath0712.44007OpenAlexW4232041085MaRDI QIDQ3196779

Johannes H. B. Kemperman

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001708

zbMATH Keywords

tomographysets of uniquenessoptimal bang-bang controlgeneralized additive setsreconstructing a set from its projectionssets with given momentsstrongly rich systems

Mathematics Subject Classification ID

Radon transform (44A12) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Moment problems (44A60) Measures and integrals in product spaces (28A35)

Related Items (2)

A characterization of the disc by sets of uniqueness in tomography ⋮ Tomographic reconstruction by maximum entropy in the mean: Unconstrained reconstructions

Cites Work

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• Sets of uniqueness and systems of inequalities having a unique solution
• Existence of probability measures with given marginals
• Sets uniquely determined by projections on axes. II: Discrete case
• Sets Uniquely Determined by Projections on Axes I. Continuous Case
• Characterisation of measurable plane sets which are reconstructable from their two projections
• On a Theorem of Lyapunov
• A Problem of Plane Measure

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