On Products of Delta Distributions and Resultants

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.

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
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
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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

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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.
ISSN:1815-0659