Spherical means on two-point homogeneous spaces and applications

DOI10.1070/IM2013v077n02ABEH002634zbMath1277.43015OpenAlexW2319590760MaRDI QIDQ4923010

Vitalii Vladimirovich Volchkov, Valery Vladimirovich Volchkov

Publication date: 5 June 2013

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

Full work available at URL: https://doi.org/10.1070/im2013v077n02abeh002634

zbMATH Keywords

symmetric spacesspherical meansinversion formulaePompeiu transforms

Mathematics Subject Classification ID

Integral geometry (53C65) Differential geometry of symmetric spaces (53C35) Analysis on other specific Lie groups (43A80)

Related Items (4)

ON ONE ZALCMAN PROBLEM FOR THE MEAN VALUE OPERATOR ⋮ RECOVERING THE LAPLACIAN FROM CENTERED MEANS ON BALLS AND SPHERES OF FIXED RADIUS ⋮ Inversion of a Convolution Operator Associated with Spherical Means ⋮ Unnamed Item

Cites Work

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• Inversion of the local Pompeiu transform
• A local version of the two-circles theorem
• Pompeiu's problem on symmetric spaces
• The Radon transform
• Pompeiu's problem on spaces of constant curvature
• Inversion of the local Pompeiu transformation on a quaternionic hyperbolic space.
• Inversion of the local Pompeiu transform in real and complex hyperbolic spaces: Case of two balls
• Functions on a sphere with vanishing integrals over certain subspheres
• Analyticity and the Pompeiu problem
• Spectral synthesis and the Pompeiu problem
• Inversion de la transformation de pompéiu locale dans l'espace hyperbolique quaternionique – cas des deux boules
• On a problem of Berenstein-Gay and its generalizations
• Optimization problems related to the John uniqueness theorem
• Functions with ball mean values equal to zero on compact two-point homogeneous spaces
• Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group
• Solution of the support problem for several function classes
• Convolution equations in many-dimensional domains and on the Heisenberg reduced group
• Local two-radii theorem in symmetric spaces
• Freak Theorem About Functions on a Sphere

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