On Products of Delta Distributions and Resultants
Symmetry, integrability and geometry: methods and applications, Tome 16 (2020)
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We prove an identity in integral geometry, showing that if $P_x$ and $Q_x$ are two polynomials, $\int \mathrm{d}x\, \delta(P_x) \otimes \delta(Q_x)$ is proportional to $\delta(R)$ where $R$ is the resultant of $P_x$ and $Q_x$.
Keywords:
measures and distributions, integral geometry.
@article{SIGMA_2020_16_a82,
author = {Michel Bauer and Jean-Bernard Zuber},
title = {On {Products} of {Delta} {Distributions} and {Resultants}},
journal = {Symmetry, integrability and geometry: methods and applications},
year = {2020},
volume = {16},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a82/}
}
Michel Bauer; Jean-Bernard Zuber. On Products of Delta Distributions and Resultants. Symmetry, integrability and geometry: methods and applications, Tome 16 (2020). http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a82/
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