Interpolation problems for functions with zero integrals over balls of fixed radius

DOI10.1134/S1064562420010214zbMath1490.53089OpenAlexW3026971335MaRDI QIDQ2243691

Valery Vladimirovich Volchkov, Vitalii Vladimirovich Volchkov

Publication date: 11 November 2021

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

Full work available at URL: https://doi.org/10.1134/s1064562420010214

zbMATH Keywords

spherical meansinterpolation problemsmean periodicity

Mathematics Subject Classification ID

Integration of real functions of several variables: length, area, volume (26B15) Integral geometry (53C65) Harmonic analysis and spherical functions (43A90)

Related Items (2)

Characterization of generalizedperiodic vector fields on hyperbolic space ⋮ Vector fields with zero flux through circles of fixed radius on $\mathbb{H}^2$

Cites Work

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• On the problem of mean periodic continuation
• Spherical means and CR functions on the Heisenberg group
• The injectivity of the Pompeiu transform and \(L^ p\)-analogues of the Wiener-Tauberian theorem
• The removability problem for functions with zero spherical means
• Functions on a sphere with vanishing integrals over certain subspheres
• Inversion de la transformation de pompéiu locale dans l'espace hyperbolique quaternionique – cas des deux boules
• Offbeat Integral Geometry on Symmetric Spaces
• Solution of the support problem for several function classes

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