A Radon Transform on Spheres Through the Origin in R n and Applications to the Darboux Equation
From MaRDI portal
Publication:3887930
DOI10.2307/1998023zbMath0444.44003OpenAlexW4236270757MaRDI QIDQ3887930
Allan McLeod Cormack, Eric Todd Quinto
Publication date: 1980
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1998023
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Euler-Poisson-Darboux equations (35Q05)
Related Items (32)
Asymptotic formulas for the dual Radon transform and applications ⋮ Radon transforms and Gegenbauer-Chebyshev integrals. I ⋮ Range description for a spherical mean transform on spaces of constant curvature ⋮ A Radon transform on the cylinder ⋮ On non-parametric density estimation on linear and non-linear manifolds using generalized Radon transforms ⋮ A local version of the two-circles theorem ⋮ Support theorems for Funk-type isodistant Radon transforms on constant curvature spaces ⋮ The Radon Transform on a Family of Curves in the Plane ⋮ Spherical means in annular regions in the \(n\)-dimensional real hyperbolic spaces ⋮ Le problème de Pompeiu local. (Local Pompeiu problem) ⋮ Recovering initial values from light cone traces of solutions of the wave equation ⋮ Three dimensional Compton scattering tomography ⋮ Integrals over circles passing through the origin and a characterization of analytic functions ⋮ Morera theorems via microlocal analysis ⋮ Radon transforms and Gegenbauer-Chebyshev integrals. II: Examples ⋮ A generalized Radon transform on the plane ⋮ Null spaces of Radon transforms ⋮ Null spaces and ranges for the classical and spherical Radon transforms ⋮ A problem of integral geometry ⋮ Reconstruction from limited data of arc means ⋮ The Radon Transform on a Family of Curves in the Plane. II ⋮ New unified Radon inversion formulas ⋮ Identifying rotational Radon transforms ⋮ Zero Integrals on Circles and Characterizations of Harmonic and Analytic Functions ⋮ Zero Integrals on Circles and Characterizations of Harmonic and Analytic Functions ⋮ Inversion formulas for the \(k\)-dimensional Radon transform in real hyperbolic spaces ⋮ Inversion of the local Pompeiu transform ⋮ Solution of some integral equations arising in integral geometry ⋮ The invertibility of rotation invariant Radon transforms ⋮ Singular value decompositions and inversion methods for the exterior Radon transform and a spherical transform ⋮ Support curves of invertible Radon transforms ⋮ Inversion of the spherical Radon transform on spheres through the origin using the regular Radon transform
This page was built for publication: A Radon Transform on Spheres Through the Origin in R n and Applications to the Darboux Equation
