English

On Products of Delta Distributions and Resultants

Mathematical Physics 2020-08-26 v2 math.MP

Abstract

We prove an identity in integral geometry, showing that if PxP_x and QxQ_x are two polynomials, dxδ(Px)δ(Qx)\int {\rm d}x\, \delta(P_x) \otimes \delta(Q_x) is proportional to δ(R)\delta(R) where RR is the resultant of PxP_x and QxQ_x.

Keywords

Cite

@article{arxiv.2006.08301,
  title  = {On Products of Delta Distributions and Resultants},
  author = {Michel Bauer and Jean-Bernard Zuber},
  journal= {arXiv preprint arXiv:2006.08301},
  year   = {2020}
}