Continuity properties of k-plane integrals and Besicovitch sets

DOI10.1017/S0305004100056681zbMath0438.42014WikidataQ56341382 ScholiaQ56341382MaRDI QIDQ3879688

Kenneth J. Falconer

Publication date: 1980

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Fourier transform methodsBesicovitch setk-plane integral

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

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Cites Work

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• A note on k-plane integral transforms
• The X-ray transform
• Practical and mathematical aspects of the problem of reconstructing objects from radiographs
• On a Problem of Besicovitch
• On Fundamental Geometric Properties of Plane Line-Sets