ON THE ANALYTIC EXTENSION OF CR MAPPINGS BETWEEN REAL ANALYTIC HYPERSURFACES IN CN+1

Authors
MIR N
Citation
N. Mir, ON THE ANALYTIC EXTENSION OF CR MAPPINGS BETWEEN REAL ANALYTIC HYPERSURFACES IN CN+1, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 326(11), 1998, pp. 1283-1288
Citations number
21
Categorie Soggetti
Mathematics,Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
326
Issue
11
Year of publication
1998
Pages
1283 - 1288
Database
ISI
SICI code
0764-4442(1998)326:11<1283:OTAEOC>2.0.ZU;2-M
Abstract
Let (M, p(0)) and (M',p'(0)) be two germs of real analytic hypersurfac es in CN+1, N greater than or equal to 1. Suppose that H is a smooth C R map between M and M' such that H(p(0)) = p'(0). We show that, under some conditions on H and M', the map H is real analytic. (C) Academie des Sciences/Elsevier, Paris.