Consistency conditions for a finite set of projections of a function

DOI10.1017/S030500410005550XzbMath0386.28008OpenAlexW1975498069MaRDI QIDQ4166941

Kenneth J. Falconer

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1017/s030500410005550x

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) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Measures and integrals in product spaces (28A35)

Related Items (4)

Sums of plane waves, and the range of the Radon transform ⋮ Sums of homogeneous functions and the range of the divergent beam x-ray transform ⋮ Smoothness and uniqueness in ridge function representation ⋮ On the closure of spaces of sums of Ridge functions and the range of the X-ray transform

Cites Work

• Optimal reconstruction of a function from its projections
• Practical and mathematical aspects of the problem of reconstructing objects from radiographs

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