Analyticity of smooth CR mappings of generic submanifolds

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dc.creatorEbenfelt, Peter
dc.creatorRothschild, Linda P.
dc.date2006-08-10
dc.date.accessioned2026-07-07T07:21:39Z
dc.date.available2026-07-07T07:21:39Z
dc.descriptionWe consider a smooth CR mapping $f$ from a real-analytic generic submanifold $M$ in $\bC^N$ into $\bC^N$. For $M$ of finite type and essentially finite at a point $p\in M$, and $f$ formally finite at $p$, we give a necessary and sufficient condition for $f$ to extend as a holomorphic mapping in some neighborhood of $p$. In a similar vein, we consider a formal holomorphic mapping $H$ and give a necessary and sufficient condition for $H$ to be convergent.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0608272
dc.identifierhttp://arxiv.org/abs/math/0608272
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115373
dc.subjectComplex Variables
dc.subjectAlgebraic Geometry
dc.subject32H35, 32V40
dc.titleAnalyticity of smooth CR mappings of generic submanifolds
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