A Functional From Geometry with Applications to Discrepancy Estimates and the Radon Transform

DOI10.2307/2154623zbMath0801.11035OpenAlexW4253396930MaRDI QIDQ4286442

Allen D. Rogers

Publication date: 28 November 1994

Full work available at URL: https://doi.org/10.2307/2154623

zbMATH Keywords

functionallower boundBorel measureseparation discrepancy

Mathematics Subject Classification ID

Radon transform (44A12) Irregularities of distribution, discrepancy (11K38) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (2)

Circle discrepancy for checkerboard measures ⋮ Discrepancy of line segments for general lattice checkerboards

Cites Work

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• On the range of the Radon transform and its dual
• Distributions of positive mass, which maximize a certain generalized energy integral
• On a problem of K. F. Roth concerning irregularities of point distribution
• On means of distances on the surface of a sphere (lower bounds)
• Generalized sums of distances
• Irregularities of distribution. IV
• Geometric methods in the study of irregularities of distribution
• Principles of a new method in the study of irregularities of distribution
• On certain metric spaces arising from euclidean spaces by a change of metric and their imbedding in Hilbert space
• Sums of distances between points on a sphere — an application of the theory of irregularities of distribution to discrete Geometry
• Extremal Problems of Distance Geometry Related to Energy Integrals
• Sums of Distances Between Points on a Sphere. II
• Metric Spaces and Positive Definite Functions
• On irregularities of distribution

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