Large-scale equivalence of norms of the Radon transform and initial function

DOI10.3103/s1066369x23080091MaRDI QIDQ6197856

Nurlan Temirgaliyev, A. Zh. Zhubanysheva, G. E. Taugynbaeva

Publication date: 19 February 2024

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

zbMATH Keywords

Radon transformequivalence of transforms in normflexible Hilbert Sobolev spaceflexible Hilbert Sobolev-Radon space

Mathematics Subject Classification ID

Radon transform (44A12) Numerical methods for integral transforms (65R10) Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Distributions, generalized functions, distribution spaces (46Fxx)

Cites Work

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• Radon transform on Sobolev spaces
• The Radon transform in the scheme of C(N)D-investigations and the quasi-Monte Carlo theory
• The Mathematics of Computerized Tomography
• A Sobolev Space Analysis of Picture Reconstruction

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