An inversion formula for the spherical transform in \(S^{2}\) for a special family of circles of integration

DOI10.1007/s13324-015-0105-5zbMath1347.44001OpenAlexW883122566MaRDI QIDQ281024

Yehonatan Salman

Publication date: 10 May 2016

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-015-0105-5

zbMATH Keywords

inversion formulaFunk transform

Mathematics Subject Classification ID

Radon transform (44A12) Integral geometry (53C65) Harmonic analysis and PDEs (42B37)

Related Items (12)

Funk-Minkowski transform and spherical convolution of Hilbert type in reconstructing functions on the sphere ⋮ Support theorems for Funk-type isodistant Radon transforms on constant curvature spaces ⋮ An SVD in Spherical Surface Wave Tomography ⋮ On the spherical slice transform ⋮ Reconstruction from cone integral transforms ⋮ Non-central Funk-Radon transforms: single and multiple ⋮ The Funk-Radon transform for hyperplane sections through a common point ⋮ Non-geodesic Spherical Funk Transforms with One and Two Centers ⋮ On two families of Funk-type transforms ⋮ A generalization of the Funk–Radon transform ⋮ Reconstructions from integrals over non-analytic manifolds ⋮ Reconstruction of functions on the sphere from their integrals over hyperplane sections

Cites Work

• Unnamed Item
• The Radon transform
• COMPLEX ANALYSIS AND THE FUNK TRANSFORM
• Reconstruction from a sampling of circle integrals in SO (3)
• Partial differential equations

This page was built for publication: An inversion formula for the spherical transform in \(S^{2}\) for a special family of circles of integration