On continuity of Buffon functionals in the space of planes in \(\mathbb{R}^3\)

DOI10.3103/S1068362320060035zbMath1458.53078OpenAlexW3115781811MaRDI QIDQ2227012

Rouben V. Ambartsumian

Publication date: 9 February 2021

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362320060035

zbMATH Keywords

integral geometryHilbert's fourth problemBuffon functionalwedge metric

Mathematics Subject Classification ID

Integral geometry (53C65) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Cites Work

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• Sevan methodologies revisited: random line processes
• Parallel X-ray tomography of convex domains as a search problem in two dimensions
• Geometries in which the planes minimize area
• Combinatorial Foundations of Stochastic Geometry
• A note on pseudo-metrics on the plane
• Stochastic geometry from the standpoint of integral geometry
• Many-Dimensional Combinatorial Ambartzumian's Formulae
• The solution to the Buffon-Sylvester problem inR 3

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