On products of delta distributions and resultants - Archive ouverte HAL
Article Dans Une Revue Symmetry, Integrability and Geometry : Methods and Applications Année : 2020

On products of delta distributions and resultants

Résumé

We prove an identity in integral geometry, showing that if $P_x$ and $Q_x$ are two polynomials, $\int dx \, \delta(P_x) \otimes \delta(Q_x)$ is proportional to $\delta(R)$ where $R$ is the resultant of $P_x$ and $Q_x$.
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hal-02869757 , version 1 (06-01-2025)

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Michel Bauer, Jean-Bernard Zuber. On products of delta distributions and resultants. Symmetry, Integrability and Geometry : Methods and Applications, 2020, 16, pp.083. ⟨10.3842/SIGMA.2020.083⟩. ⟨hal-02869757⟩
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