The Pompeiu problem and discrete groups

DOI10.1007/S00605-013-0524-ZzbMath1284.43003arXiv1202.2398OpenAlexW2027440512MaRDI QIDQ387554

Michael J. Puls

Publication date: 23 December 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.2398

zbMATH Keywords

harmonic functionfree groupmean value propertyPompeiu propertytorsion free ranktwo-radii theorems

Mathematics Subject Classification ID

Other transforms and operators of Fourier type (43A32) Analysis on other specific Lie groups (43A80) Harmonic analysis and spherical functions (43A90) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (3)

The discrete Pompeiu problem on the plane ⋮ The two-sided Pompeiu problem for discrete groups ⋮ On the discrete Fuglede and Pompeiu problems

Cites Work

• Unnamed Item
• Unnamed Item
• The 2-circle and 2-disk problems on trees
• Pompeiu's problem on symmetric spaces
• Zero divisors and group von Neumann algebras
• A two-spheres problem on homogeneous trees
• The injectivity of the Pompeiu transform and \(L^ p\)-analogues of the Wiener-Tauberian theorem
• Spherical spectral synthesis and two-radius theorems on Damek-Ricci spaces
• Some Remarks on the Pompeiu Problem for Groups
• The Pompeiu problem for groups
• VON NEUMANN DIMENSION AND THE HOMOLOGY OF COVERING SPACES
• Offbeat Integral Geometry
• Zero divisors and 𝐿^{𝑝}(𝐺)
• Harmonic analysis on discrete Abelian groups
• Zero divisors and \(L^p(G)\), II

This page was built for publication: The Pompeiu problem and discrete groups