On Kelvin type transformation for Weinstein operator
Martina Šimůnková · Czech digital mathematics library · 2001
summary: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 $k eq 0$, $k eq 2$ no other transforms of this kind exist and for case $k=2$, all such transforms are described.