On Abel-Radon transform of locally residual currents

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dc.creatorFabre, Bruno
dc.date2004-02-14
dc.date.accessioned2026-07-07T05:05:27Z
dc.date.available2026-07-07T05:05:27Z
dc.descriptionWe give in this note a generalisation of the following theorem of Henkin and Passare : Let be Y an analytic subvariety of pure codimension p in a linearly p-concave domain U, and w a meromorphic q-form (q>0) on Y; if the Abel transform of w, which is meromorphic on U*, has a meromorphic prolongation to some greater domain U' * containing U^*, then Y extends as an analytic subvariety Y' of U', and w as a meromorphic form on Y'. We show the analogous statement when we replace the Abel transform of w by the Abel-Radon transform of a locally residual current on U.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0402240
dc.identifierhttp://arxiv.org/abs/math/0402240
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70172
dc.subjectComplex Variables
dc.subjectFunctional Analysis
dc.subject32C30, 44A12
dc.titleOn Abel-Radon transform of locally residual currents
dc.typetext

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