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This article is cited in 1 scientific paper (total in 1 paper)
“Newton polyhedra” of distributions
B. Ya. Kazarnovskii Scientific Technical Centre "Informregistr"
Abstract:
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.
Received: 30.05.2003
Citation:
B. Ya. Kazarnovskii, ““Newton polyhedra” of distributions”, Izv. Math., 68:2 (2004), 273–289
Linking options:
https://www.mathnet.ru/eng/im475https://doi.org/10.1070/IM2004v068n02ABEH000475 https://www.mathnet.ru/eng/im/v68/i2/p53
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Abstract page: | 482 | Russian version PDF: | 190 | English version PDF: | 21 | References: | 69 | First page: | 2 |
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