Geodesic
On Kelvin type transformation for Weinstein operator
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 1, pp. 99-109

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The note develops results from [5] where an invariance under the Möbius transform mapping the upper halfplane onto itself of the Weinstein operator $W_k:=\Delta+\frac k{x_n}\frac{\partial}{\partial x_n}$ on $\Bbb R^n$ is proved. In this note there is shown that in the cases $k\neq 0$, $k\neq 2$ no other transforms of this kind exist and for case $k=2$, all such transforms are described.
Classification : 31B05, 35B05, 35J15
Keywords: harmonic morphisms; Kelvin transform; Weinstein operator 
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     title = {On {Kelvin} type transformation for {Weinstein} operator},
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Šimůnková, Martina. On Kelvin type transformation for Weinstein operator. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 1, pp. 99-109. http://geodesic.mathdoc.fr/item/CMUC_2001__42_1_a6/