The Calderón reproducing formula, windowed \(X\)-ray transforms, and Radon transforms in \(L^p\)-spaces

DOI10.1007/BF02475988zbMath0933.42023OpenAlexW1982192825MaRDI QIDQ1271484

Boris Rubin

Publication date: 24 January 1999

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59559

zbMATH Keywords

Radon transformreproducing formula\(X\)-ray transformwavelet type transforms

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Radon transform (44A12)

Related Items (27)

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Cites Work

• A note on k-plane integral transforms
• The Radon transform
• \(L^ p\) estimates for Radon transforms in Euclidean and non-Euclidean spaces
• Lower dimensional integrability of \(L^2\) functions
• On the reproducing formula of Calderón
• On the Range of the Radon d-Plane Transform and Its Dual
• Inverse Radon transforms through inverse wavelet transforms
• Extensions of Hardy spaces and their use in analysis
• Inversion of Radon transforms using wavelet transforms generated by wavelet measures
• Inversion ofk-Plane Transforms and Applications in Computer Tomog
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