Recovering functions from the spherical mean transform with limited radii data by expansion into spherical harmonics
type: Item
instance of: scholarly article
title: Recovering functions from the spherical mean transform with limited radii data by expansion into spherical harmonics
zbMATH Open document ID: 1391.44003
author: Yehonatan Salman
published in: Journal of Mathematical Analysis and Applications
publication date: 2018-05-31T00:00:00Z
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 33C55
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 6879559
zbMATH Keywords: spherical transform
zbMATH Keywords: inversion formula
zbMATH Keywords: limited radii
zbMATH Keywords: Funk transform
MaRDI profile type: Publication
full work available at URL: j.jmaa.2018.05.019
OpenAlex ID: W2799987248
cites work: Conical Uniqueness Sets for the Spherical Radon Transform
cites work: Image reconstruction from radially incomplete spherical Radon data
cites work: Inversion of the circular Radon transform on an annulus
cites work: On the injectivity of the circular Radon transform
cites work: Method of analytic continuation for the inverse spherical mean transform in constant curvature spaces
cites work: Temporal back-projection algorithms for photoacoustic tomography with integrating line detectors
cites work: Inversion of Spherical Means and the Wave Equation in Even Dimensions
cites work: Determining a Function from Its Mean Values Over a Family of Spheres
cites work: Universal Inversion Formulas for Recovering a Function from Spherical Means
cites work: Mathematics of thermoacoustic tomography
cites work: Explicit inversion formulae for the spherical mean Radon transform
cites work: Q3754464
cites work: A uniform reconstruction formula in integral geometry
DOI: 10.1016/J.JMAA.2018.05.019
description: scientific article; zbMATH DE number 6879559