The Pompeiu problem on locally symmetric spaces

DOI10.1007/BF03041072zbMath0777.43006OpenAlexW58097721MaRDI QIDQ1803641

Erich Badertscher

Publication date: 29 June 1993

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03041072

zbMATH Keywords

Riemannian manifoldinvariant measurelocally symmetric spaceslocally compact spacePompeiu problemgroup of transformationsPompeiu transformirreducible symmetric spacelocal Pompeiu propertyradial measure

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85)

Related Items (7)

Injectivity of the Pompeiu transform in the Heisenberg group ⋮ On one Minkowski-Radon problem and its generalizations ⋮ On functions on a sphere with zero integrals over circumferences with fixed radius ⋮ Two-radii theorems for quasi-analytic classes of functions on a sphere ⋮ On the kernel of a hemispherical Funk transformation and its local analogs ⋮ A one-radius theorem on a sphere with pricked point ⋮ Convolution equations and the local Pompeiu property on symmetric spaces and on phase space associated to the Heisenberg group

Cites Work

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• Analyticity and the Pompeiu problem
• Spectral synthesis and the Pompeiu problem
• Abhängigkeiten zwischen den Flächenintegralen einer stetigen Funktion
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