The third Cauchy-Fantappie formula of Leray

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dc.creatorJoita, Cezar
dc.creatorLarusson, Finnur
dc.date2002-01-07
dc.date.accessioned2026-07-07T04:45:42Z
dc.date.available2026-07-07T04:45:42Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0201040
dc.identifierhttp://arxiv.org/abs/math/0201040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63051
dc.subjectComplex Variables
dc.subject32A26
dc.titleThe third Cauchy-Fantappie formula of Leray
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