On Products of Delta Distributions and Resultants

被引：1

作者：

Bauer, Michel ^{[1
,2
,3
,4
,5
]}

Zuber, Jean-Bernard ^{[6
,7
]}

机构：

[1] CEA Saclay, Inst Phys Theor Saclay, F-91191 Gif Sur Yvette, France

[2] CNRS, UMR 3681, IPhT, F-91191 Gif Sur Yvette, France

[3] Ecole Normale Super, Dept Math & Applicat, F-75005 Paris, France

[4] CNRS, DMA, ENS, UMR 8553, F-75005 Paris, France

[5] PSL Res Univ, F-75005 Paris, France

[6] Sorbonne Univ, LPTHE, UMR 7589, F-75005 Paris, France

[7] CNRS, LPTHE, UMR 7589, F-75005 Paris, France

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2020年 / 16卷

关键词：

measures and distributions; integral geometry;

D O I：

10.3842/SIGMA.2020.083

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove an identity in integral geometry, showing that if P-x and Q(x) are two polynomials, integral dx delta(P-x) circle times delta(Q(x)) is proportional to delta(R) where R is the resultant of P-x and Q(x).

引用

页数：11

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