Inversion for the Radon line transform in higher dimensions

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 356, Issue 1749, 1998, Pages 3041-3086

  Sparling, George ^a  

^a UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

Hilbert transform; Liouville's theorem; Radon transform; Twistor theory

Indexed keywords

EID: 3242857937     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.1998.0307     Document Type: Article

References (10)

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5. Mason, L. & Sparling, G. 1992 Twistor correspondences for the soliton hierarchies. J. Geometry Phys. 8, 243-271.
6. Muskhelishvili, N. 1968 Singular integral equations, 3rd edn. Moscow: Nauka.
7. Penrose, R. & Rindler, W. 1984 Spinors and space-time, vol. 1. Two-spinor calculus and relativistic fields. Cambridge University Press.
8. Penrose, R. & Rindler, W. 1986 Spinors and space-time, vol. 2. Spinor and twistor methods in space-time geometry. Cambridge University Press.
9. Radon, J. 1917 Über die Bestimmung von Funktionen durch ihre Integralwerte längs gewisser Mannigfaltigkeiten. Ber. Verh. Sächs. Akad. Wiss. Leipzig, Math-Nat. 69, 262-277.
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