Harmonic Analysis and the Pompeiu Problem

DOI10.2307/2374339zbMath0522.43006OpenAlexW2327849540MaRDI QIDQ3672457

Mehrdad M. Shahshahani, Carlos. A. Berenstein

Publication date: 1983

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374339

zbMATH Keywords

eigenvalueRadon transformPompeiu problemsymmetric space of non-compact typeover-determined Neumann problem

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22)

Related Items (13)

Morera and mean-value type theorems in the hyperbolic disk ⋮ Some Remarks on the Pompeiu Problem for Groups ⋮ Heat flow, heat content and the isoparametric property ⋮ Symmetry theorems for the overdetermined eigenvalue problems ⋮ Inversion Theorems for the local Pompeiu transformation in the quaternion hyperbolic space ⋮ The Pompeiu problem for groups ⋮ Sets with the Pompeiu property on the plane and on the sphere ⋮ Overdetermined Neumann boundary value problem in unbounded domains ⋮ A local two-radii theorem on the sphere ⋮ On the radial symmetry property for harmonic functions ⋮ Geometric rigidity of constant heat flow ⋮ The Pompeiu problem on locally symmetric spaces ⋮ Saddle points and overdetermined problems for the Helmholtz equation

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