Range description for a spherical mean transform on spaces of constant curvature

DOI10.1007/s11854-016-0006-zzbMath1405.53102arXiv1107.1746OpenAlexW2963640798MaRDI QIDQ279756

Publication date: 29 April 2016

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.1746

Mathematics Subject Classification ID

Integral geometry (53C65) General integral transforms (44A05)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Method of analytic continuation for the inverse spherical mean transform in constant curvature spaces
Photo-acoustic inversion in convex domains
Remarks on the general Funk transform and thermoacoustic tomography
Range conditions for a spherical mean transform and global extendibility of solutions of the Darboux equation
Local harmonic analysis on spheres
The Radon transform
Fundamentality of ridge functions
Approximation by spherical waves in \(L^p\)-spaces
Injectivity sets for the Radon transform over circles and complete systems of radial functions
Spherical mean transform: a PDE approach
An inversion formula for the spherical mean transform with data on an ellipsoid in two and three dimensions
Range conditions for a spherical mean transform
A family of inversion formulas in thermoacoustic tomography
Range descriptions for the spherical mean Radon transform
A local Paley-Wiener theorem for compact symmetric spaces
A uniform reconstruction formula in integral geometry
Reconstruction of a function from its spherical (circular) means with the centers lying on the surface of certain polygons and polyhedra
Explicit inversion formulae for the spherical mean Radon transform
A Range Description for the Planar Circular Radon Transform
Mathematics of thermoacoustic tomography
Offbeat Integral Geometry
A Radon Transform on Spheres Through the Origin in R n and Applications to the Darboux Equation
Spherical means in annular regions
Determining a Function from Its Mean Values Over a Family of Spheres
Inversion of Spherical Means and the Wave Equation in Even Dimensions
Universal Inversion Formulas for Recovering a Function from Spherical Means
The spherical mean value operator with centers on a sphere
The range of the spherical mean value operator for functions supported in a ball
Trace identities for solutions of the wave equation with initial data supported in a ball

This page was built for publication: Range description for a spherical mean transform on spaces of constant curvature