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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2022, Volume 7, Issue 2, Pages 139–151
DOI: https://doi.org/10.47475/2500-0101-2022-17201 (Mi chfmj277) 		 
Mathematics

Characterization of generalized periodic vector fields on hyperbolic space

N. P. Volchkovaa, Vit. V. Volchkovb

a Donetsk National Technical University, Donetsk
b Donetsk National University, Donetsk
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DOI: https://doi.org/10.47475/2500-0101-2022-17201
Abstract: We study vector fields which have zero flux through every sphere of fixed radius in a ball on a real hyperbolic space. For fields in such classes a description in the form of a series in special functions is obtained.
Keywords: vector field, hyperbolic space, zero spherical mean, spherical harmonic, Horn hypergeometric series.
Received: 03.02.2022
Revised: 11.04.2022
Document Type: Article
UDC: 517.588
Language: Russian
Citation: N. P. Volchkova, Vit. V. Volchkov, “Characterization of generalized periodic vector fields on hyperbolic space”, Chelyab. Fiz.-Mat. Zh., 7:2 (2022), 139–151
Citation in format AMSBIB
\Bibitem{VolVol22}
\by N.~P.~Volchkova, Vit.~V.~Volchkov
\paper Characterization of generalized periodic vector fields on hyperbolic space
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2022
\vol 7
\issue 2
\pages 139--151
\mathnet{http://mi.mathnet.ru/chfmj277}
\crossref{https://doi.org/10.47475/2500-0101-2022-17201}
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