On Products of Delta Distributions and Resultants

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• ISSN: 1815-0659
• Main Authors: Bauer, Michel, Zuber, Jean-Bernard
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210765
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Products of Delta Distributions and Resultants. Michel Bauer and Jean-Bernard Zuber. SIGMA 16 (2020), 083, 11 pages

We prove an identity in integral geometry, showing that if ₓ and ₓ are two polynomials, ∫dxδ(ₓ) ⊗ δ(ₓ) is proportional to δ() where is the resultant of ₓ and ₓ.