On the injectivity of the Pompeiu transform for integral ball means

DOI10.1007/s11253-011-0512-1zbMath1243.44004OpenAlexW2020538102WikidataQ123075088 ScholiaQ123075088MaRDI QIDQ765390

Oksana Aleksandrovna Ochakovskaya

Publication date: 19 March 2012

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-011-0512-1

zbMATH Keywords

injectivity integral geometryPompeiu transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Radon transform (44A12) Integral geometry (53C65)

Related Items (1)

Injectivity classes of the Pompeiu transformation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fourier analysis and determining sets for Radon measures on \({\mathbb{R}}^ n\)
• Spherical means and CR functions on the Heisenberg group
• On functions with zero integrals over balls of fixed radius on a half-space.
• Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group
• Solution of the support problem for several function classes
• Theorems on ball mean values in symmetric spaces
• Regularly varying functions

This page was built for publication: On the injectivity of the Pompeiu transform for integral ball means