Interpolation problems for functions with zero ball means

DOI10.15393/j3.art.2021.10751zbMath1498.41003OpenAlexW3212881203MaRDI QIDQ5086598

Valery Vladimirovich Volchkov, Vitalii Vladimirovich Volchkov

Publication date: 6 July 2022

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa336

zbMATH Keywords

spherical meansinterpolation problemsmean periodicity

Mathematics Subject Classification ID

Classical almost periodic functions, mean periodic functions (42A75) Interpolation in approximation theory (41A05) Harmonic analysis and spherical functions (43A90)

Related Items (1)

Interpolation problem with knots on a line for solutions of a multidimensional convolution equation

Cites Work

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• 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
• Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group
• Solution of the support problem for several function classes
• Partial differential equations

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