The Pompeiu property and approximation in \(L^{p}\) by linear combinations of shifts

DOI10.1134/S1064562414020100zbMath1325.46033OpenAlexW2073204470MaRDI QIDQ461897

Oksana Aleksandrovna Ochakovskaya

Publication date: 15 October 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562414020100

zbMATH Keywords

characteristic functionBessel function\(L^p\)-spacesPompeiu propertylinear combination of ballsweak Pompeiu property

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Length, area, volume, other geometric measure theory (28A75)

Cites Work

• Propagation of singularities from singular and infinite points in certain complex-analytic Cauchy problems and an application to the Pompeiu problem
• Sets with the Pompeiu property on the plane and on the sphere
• Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group
• Univalent Functions and the Pompeiu Problem
• A new result on the Pompeiu problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Pompeiu property and approximation in \(L^{p}\) by linear combinations of shifts