Characterization of generalized periodic vector fields on hyperbolic space

N. P. Volchkova ; Vit. V. Volchkov

Čelâbinskij fiziko-matematičeskij žurnal, Tome 7 (2022) no. 2, pp. 139-151.

Résumé

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.

Détail

Keywords: vector field, hyperbolic space, zero spherical mean, spherical harmonic, Horn hypergeometric series.

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