On the closure of spaces of sums of Ridge functions and the range of the X-ray transform

DOI10.5802/aif.957zbMath0521.46018OpenAlexW2326596011MaRDI QIDQ1055662

Jan Boman

Publication date: 1984

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1984__34_1_207_0

zbMATH Keywords

tomographyLipschitz curveimage reconstruction from projectionsboundary has non-vanishing principal curvaturesmatrix-valued differential operatorrange of the X-ray transformsums of Ridge functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30)

Related Items (3)

Sums of complemented subspaces in locally convex spaces ⋮ On the closedness of the sum of ranges of operators \(A_k\) with almost compact products \(A_i^\ast A_j\) ⋮ Functional analytic approach to stability problems in three-dimensional theoretical tomography

Cites Work

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• Sums of plane waves, and the range of the Radon transform
• The angles between the null spaces of X rays
• Optimal reconstruction of a function from its projections
• La dualité dans les espaces \((\mathcal F)\) et \((\mathcal{LF})\)
• Practical and mathematical aspects of the problem of reconstructing objects from radiographs
• Computerized Tomography: The New Medical X-Ray Technology
• Consistency conditions for a finite set of projections of a function

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