One problem connected with the Helgason support problem

DOI10.1007/s11253-016-1157-xzbMath1404.43016OpenAlexW2311471411MaRDI QIDQ1684570

I. N. Savost'yanova, Vitalii Vladimirovich Volchkov, Valery Vladimirovich Volchkov

Publication date: 11 December 2017

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-016-1157-x

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Radon transform (44A12) Integral geometry (53C65) Differential geometry of symmetric spaces (53C35) Spherical harmonics (33C55) Harmonic analysis and spherical functions (43A90)

Cites Work

• Spherical means in annular regions in the \(n\)-dimensional real hyperbolic spaces
• Pompeiu's problem on spaces of constant curvature
• Morera theorems for complex manifolds
• Integral Geometry and Radon Transforms
• Offbeat Integral Geometry on Symmetric Spaces
• Zero Integrals on Circles and Characterizations of Harmonic and Analytic Functions
• Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group
• Spherical means in annular regions
• Moduli and extremal metrics on nonorientable and twisted Riemannian manifolds
• A duality in integral geometry; some generalizations of the Radon transform
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