Range description for a spherical mean transform on spaces of constant curvature
From MaRDI portal
Publication:279756
DOI10.1007/s11854-016-0006-zzbMath1405.53102arXiv1107.1746OpenAlexW2963640798MaRDI QIDQ279756
F. Blanchet-Sadri, M. Dambrine
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
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
