On linear spline algorithms of computerized tomography in the space of \(n\)-orbits

DOI10.1515/GMJ-2022-2185OpenAlexW4297999473MaRDI QIDQ2101301

D. K. Ugulawa, David N. Zarnadze

Publication date: 5 December 2022

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2022-2185

zbMATH Keywords

singular value decompositionill-posed probleminversion of Radon transformspace of all orbitscomputerized tomography problem

Mathematics Subject Classification ID

Radon transform (44A12) Linear symmetric and selfadjoint operators (unbounded) (47B25) Numerical methods for ill-posed problems for integral equations (65R30)

Related Items (1)

A generalization of the canonical commutation relation and Heisenberg uncertainty principle for the orbital operators

Cites Work

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• On the average case solvability of ill-posed problems
• Gaussian mean boundedness of densely defined linear operators
• Linear ill-posed problems are solvable on the average for all Gaussian measures
• Continuity of the Radon transform and its inverse on Euclidean space
• On a central algorithm for calculation of the inverse of the harmonic oscillator in the spaces of orbits
• Disintegration of Gaussian measures and average-case optimal algorithms
• Orthogonal Function Series Expansions and the Null Space of the Radon Transform
• ON SOME TOPOLOGICAL AND GEOMETRICAL PROPERTIES OF FRÉCHET-HILBERT SPACES
• A generalization of the method of least squares for operator equations in some Frechet spaces
• Approximate inverse for linear and some nonlinear problems
• On orbits of elements

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