Inversion formulae for the spherical mean in odd dimensions and the Euler–Poisson–Darboux equation
From MaRDI portal
Publication:5459017
DOI10.1088/0266-5611/24/2/025021zbMath1141.44002OpenAlexW1999773174MaRDI QIDQ5459017
Publication date: 24 April 2008
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0266-5611/24/2/025021
Cauchy probleminversion formulaanalytic continuationEuler-Poisson-Darboux equationspherical mean Radon transformthermoacoustic tomographyErdélyi-Kober fractional integrals
Biomedical imaging and signal processing (92C55) Fractional derivatives and integrals (26A33) Radon transform (44A12) Euler-Poisson-Darboux equations (35Q05)
Related Items (8)
Method of analytic continuation for the inverse spherical mean transform in constant curvature spaces ⋮ Image reconstruction from radially incomplete spherical Radon data ⋮ The vertical slice transform on the unit sphere ⋮ \(L^p -L^q\) estimates for generalized spherical averages ⋮ Two-Weight Mixed Norm Estimates for a Generalized Spherical Mean Radon Transform Acting on Radial Functions ⋮ Inversion of the pair of weighted and classical circular Radon transforms in \(\mathcal{C}(\mathbf{R}^2)\) ⋮ Numerical inversion and uniqueness of a spherical Radon transform restricted with a fixed angular span ⋮ An efficient numerical algorithm for the inversion of an integral transform arising in ultrasound imaging
This page was built for publication: Inversion formulae for the spherical mean in odd dimensions and the Euler–Poisson–Darboux equation
