Diagonal spherical means

DOI10.1080/10652469.2015.1052428zbMath1338.46051OpenAlexW1595499633MaRDI QIDQ3448960

Ricardo Estrada

Publication date: 3 November 2015

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2015.1052428

zbMATH Keywords

Radon transformDirac delta functionSchwartz distribution spacediagonal spherical means

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Integral transforms in distribution spaces (46F12) Operations with distributions and generalized functions (46F10) Radon transform (44A12) Numerical methods for inverse problems for integral equations (65R32)

Cites Work

• Unnamed Item
• Method of analytic continuation for the inverse spherical mean transform in constant curvature spaces
• On Fourier transforms of radial functions and distributions
• On radial functions and distributions and their Fourier transforms
• Regularization of distributions
• Explicit inversion formulae for the spherical mean Radon transform
• Determining a Function from Its Mean Values Over a Family of Spheres
• Inversion of Spherical Means and the Wave Equation in Even Dimensions
• The spherical mean value operator with centers on a sphere

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