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).
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页数：11
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