Geodesic
``Newton polyhedra'' of distributions
Izvestiya. Mathematics , Tome 68 (2004) no. 2, pp. 273-289

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider systems of equations of the form $f_i(x)=0$, where the $f_i(x)$ are the Fourier transforms of distributions with fixed compact supports, and show that the average density of roots of such systems is determined by the geometry of the convex hulls of the supports of the distributions as their product in the ring of convex bodies. 
@article{IM2_2004_68_2_a3,
     author = {B. Ya. Kazarnovskii},
     title = {``Newton polyhedra'' of distributions},
     journal = {Izvestiya. Mathematics },
     pages = {273--289},
     publisher = {mathdoc},
     volume = {68},
     number = {2},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2004_68_2_a3/}
}
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B. Ya. Kazarnovskii. ``Newton polyhedra'' of distributions. Izvestiya. Mathematics , Tome 68 (2004) no. 2, pp. 273-289. http://geodesic.mathdoc.fr/item/IM2_2004_68_2_a3/