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.
@article{119226,
author = {Martina \v Sim\r unkov\'a},
title = {On Kelvin type transformation for Weinstein operator},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {42},
year = {2001},
pages = {99-109},
zbl = {1115.31002},
mrnumber = {1825375},
language = {en},
url = {http://dml.mathdoc.fr/item/119226}
}
Šimůnková, Martina. On Kelvin type transformation for Weinstein operator. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) pp. 99-109. http://gdmltest.u-ga.fr/item/119226/
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