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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
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
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
Linking options:
https://www.mathnet.ru/eng/chfmj277 https://www.mathnet.ru/eng/chfmj/v7/i2/p139
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Statistics & downloads: |
Abstract page: | 89 | Full-text PDF : | 22 | References: | 23 |
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