Biorthogonal decompositions of the Radon transform by multivariate interpolation

DOI10.1007/BF03322229zbMath0863.44002OpenAlexW2096086401MaRDI QIDQ1921424

Michael Rosier

Publication date: 27 May 1997

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322229

zbMATH Keywords

singular value decompositionHilbert spacesinverseRadon's transformAppell polynomial systembiorthonormal expansionbiorthonormal systemsHermite polynomial system

Mathematics Subject Classification ID

Radon transform (44A12) General harmonic expansions, frames (42C15) Harmonic analysis and spherical functions (43A90)

Cites Work

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• A singular value decomposition for the radon transform inn-dimensional euclidean space
• Biorthogonal series expansions of the X-ray and k-plane transforms
• Representation of a Function by Its Line Integrals, with Some Radiological Applications. II

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