Adelaide Research & Scholarship
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https://hdl.handle.net/2440/34974
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| Type: | Journal article |
| Title: | The third Cauchy-Fantappiè formula of Leray |
| Other Titles: | The third Cauchy-Fantappie formula of Leray |
| Author: | Joita, C. Larusson, F. |
| Citation: | Michigan Mathematical Journal, 2003; 51(2):339-350 |
| Publisher: | Michigan Mathematical Journal |
| Issue Date: | 2003 |
| ISSN: | 0026-2285 |
| Statement of Responsibility: | Cezar Joiţa and Finnur Lárusson |
| Abstract: | We study the third Cauchy-Fantappie formula, an integral representation formula for holomorphic functions on a domain in affine space, presented by Jean Leray in the third paper of his famous series "Probleme de Cauchy", published in 1959. We show by means of examples that this formula does not hold without some additional conditions, left unmentioned by Leray. We give sufficient conditions and a necessary condition for the formula to hold, and, in the case of a contractible domain, characterize it cohomologically. |
| DOI: | 10.1307/mmj/1060013200 |
| Published version: | http://dx.doi.org/10.1307/mmj/1060013200 |
| Appears in Collections: | Aurora harvest 6 Mathematical Sciences publications |
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