This article is cited in 2 papers

Stationary harmonic functions on homogeneous spaces

V. S. Khoroshchak, A. A. Kondratyuk

Ivan Franko National University of Lviv, 1, Universytetska St., 79000, Lviv, Ukraine

Abstract: Stationary harmonic functions on homogeneous spaces are considered. A relation to double periodic harmonic functions of three variables is showed.

Keywords: harmonic function, multiplicatively periodic function, double periodic function, homogeneous space, Klein space, invariant family, stationary element with respect to a subgroup, punctured Euclidean space.

UDC: 517.572

MSC: 31B05

Language: English

 English version: Ufa Mathematical Journal, 2015, 7:4, 149–153

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