Geodesic
On increase at infinity of almost hypoelliptic polynomials
Eurasian mathematical journal, Tome 4 (2013) no. 4, pp. 30-42

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It is proved that an almost hypoelliptic polynomial $P(\xi)=P(\xi_1,\dots,\xi_n)$ is increasing at infinity, i. e. $|P(\xi)|\to\infty$ as $|\xi|\to\infty$, if and only if the number $n$ of variables of $P$ is invariant with respect to any linear nondegenerate transformation $T\colon R^n\to R^n$. 
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H. G. Ghazaryan; V. N. Margaryan. On increase at infinity of almost hypoelliptic polynomials. Eurasian mathematical journal, Tome 4 (2013) no. 4, pp. 30-42. http://geodesic.mathdoc.fr/item/EMJ_2013_4_4_a2/