Characterization of generalizedperiodic vector fields on hyperbolic space

DOI10.47475/2500-0101-2022-17201OpenAlexW4285304414WikidataQ115480564 ScholiaQ115480564MaRDI QIDQ5040950

Natal'Ya Petrovna Volchkova, Vitalii Vladimirovich Volchkov

Publication date: 18 October 2022

Published in: Челябинский физико-математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/chfmj277

zbMATH Keywords

spherical harmonicvector fieldhyperbolic spacezero spherical meanHorn hypergeometric series

Mathematics Subject Classification ID

Hypergeometric functions (33Cxx)

Cites Work

• Inversion of the local Pompeiu transform
• Several complex variables V. Complex analysis in partial differential equations and mathematical physics. Transl. from the Russian
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• 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
• General hypergeometric systems of equations and series of hypergeometric type
• A definitive version of the local two-radii theorem on hyperbolic spaces
• Solution of the support problem for several function classes
• Inversion Theorems for the local Pompeiu transformation in the quaternion hyperbolic space
• A definitive version of the local two-radii theorem
• Vector Fields with Zero Flux Through Spheres of Fixed Radius
• Freak Theorem About Functions on a Sphere
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