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.
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2020 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/210765 |
| Теги: |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On Products of Delta Distributions and Resultants. Michel Bauer and Jean-Bernard Zuber. SIGMA 16 (2020), 083, 11 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862650032030744576 |
|---|---|
| author | Bauer, Michel Zuber, Jean-Bernard |
| author_facet | Bauer, Michel Zuber, Jean-Bernard |
| citation_txt | On Products of Delta Distributions and Resultants. Michel Bauer and Jean-Bernard Zuber. SIGMA 16 (2020), 083, 11 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
|
| first_indexed | 2026-03-15T14:40:57Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210765 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-15T14:40:57Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Bauer, Michel Zuber, Jean-Bernard 2025-12-17T14:30:59Z 2020 On Products of Delta Distributions and Resultants. Michel Bauer and Jean-Bernard Zuber. SIGMA 16 (2020), 083, 11 pages 1815-0659 2020 Mathematics Subject Classification: 46F10; 49Q15 arXiv:2006.08301 https://nasplib.isofts.kiev.ua/handle/123456789/210765 https://doi.org/10.3842/SIGMA.2020.083 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. We thank Michel Talagrand for his comments and encouragement. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On Products of Delta Distributions and Resultants Article published earlier |
| spellingShingle | On Products of Delta Distributions and Resultants Bauer, Michel Zuber, Jean-Bernard |
| title | On Products of Delta Distributions and Resultants |
| title_full | On Products of Delta Distributions and Resultants |
| title_fullStr | On Products of Delta Distributions and Resultants |
| title_full_unstemmed | On Products of Delta Distributions and Resultants |
| title_short | On Products of Delta Distributions and Resultants |
| title_sort | on products of delta distributions and resultants |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210765 |
| work_keys_str_mv | AT bauermichel onproductsofdeltadistributionsandresultants AT zuberjeanbernard onproductsofdeltadistributionsandresultants |