Arkiv för Matematik

On the holomorphic extension of CR functions from non-generic CR submanifolds of ℂn

Nicolas Eisen

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We give a holomorphic extension result for continuous CR functions on a non-generic CR submanifold N of ℂn to complex transversal wedges with edges containing N. We show that given any v∈ℂn∖(TpN+iTpN), there exists a wedge of direction v whose edge contains a neighborhood of p in N, such that any continuous CR function defined locally near p extends holomorphically to that wedge.

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Ark. Mat., Volume 50, Number 1 (2012), 69-87.

Received: 9 September 2009
Revised: 15 October 2010
First available in Project Euclid: 31 January 2017

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2011 © Institut Mittag-Leffler


Eisen, Nicolas. On the holomorphic extension of CR functions from non-generic CR submanifolds of ℂ n. Ark. Mat. 50 (2012), no. 1, 69--87. doi:10.1007/s11512-010-0140-2.

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