A Burns-Krantz type theorem for domains with corners

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dc.creatorBaracco, L.
dc.creatorZaitsev, D.
dc.creatorZampieri, G.
dc.date2005-05-12
dc.date.accessioned2026-07-07T05:19:52Z
dc.date.available2026-07-07T05:19:52Z
dc.descriptionThe goal of this paper is twofold. First, to give purely local boundary uniqueness results for maps defined only on one side as germs at a boundary point and hence not necessarily sending any domain to itself and also under the weaker assumption that $f(z)=z+o(|z-p|^3)$ holds only for $z$ in a proper cone in $D$ with vertex $p$. Such results have no analogues in one complex variable in contrast to the situation when a domain is preserved. And second, to extend the above results from boundaries of domains to submanifolds of higher codimension.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0505264
dc.identifierhttp://arxiv.org/abs/math/0505264
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75181
dc.subjectComplex Variables
dc.subject32H02; 32H12
dc.titleA Burns-Krantz type theorem for domains with corners
dc.typetext

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