Sur l'analyticité des germes d'applications CR entre hypersurfaces analytiques réelles dans ℂN+1

Translated title of the contribution: On the analytic extension of CR map pings between real analytic hypersurfaces in ℂN+1

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2 Citations (Scopus)

Abstract

Let (M, p0) and (M′,p′0) be two germs of real analytic hypersurfaces in ℂN+1, N ≥ 1. Suppose that H is a smooth CR map between M and M′ such that H(p0) = p′0. We show that, under some conditions on H and M′, the map H is real analytic.

Original languageFrench
Pages (from-to)1283-1288
Number of pages6
JournalComptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume326
Issue number11
Publication statusPublished - Jun 1998
Externally publishedYes

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ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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title = "Sur l'analyticit{\'e} des germes d'applications CR entre hypersurfaces analytiques r{\'e}elles dans ℂN+1",
abstract = "Let (M, p0) and (M′,p′0) be two germs of real analytic hypersurfaces in ℂN+1, N ≥ 1. Suppose that H is a smooth CR map between M and M′ such that H(p0) = p′0. We show that, under some conditions on H and M′, the map H is real analytic.",
author = "Nordine Mir",
year = "1998",
month = "6",
language = "French",
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journal = "Comptes Rendus Mathematique",
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AB - Let (M, p0) and (M′,p′0) be two germs of real analytic hypersurfaces in ℂN+1, N ≥ 1. Suppose that H is a smooth CR map between M and M′ such that H(p0) = p′0. We show that, under some conditions on H and M′, the map H is real analytic.

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