Inverse Normalizing Transformations and An Extended Normalizing Transformation

Author(s):  
Haim Shore
2002 ◽  
Vol 31 (2) ◽  
pp. 163-179 ◽  
Author(s):  
Nobuhiro Taneichi ◽  
Yuri Sekiya ◽  
Akio Suzukawa ◽  
Hideyuki Imai

2002 ◽  
Vol 41 (3) ◽  
pp. 651-656 ◽  
Author(s):  
Haim Shore ◽  
Neima Brauner ◽  
Mordechai Shacham

2020 ◽  
Vol 2020 (765) ◽  
pp. 205-247
Author(s):  
Bernhard Lamel ◽  
Laurent Stolovitch

AbstractIn this article, we give a normal form for real-analytic, Levi-nondegenerate submanifolds of{\mathbb{C}^{N}}of codimension{d\geq 1}under the action of formal biholomorphisms. We find a very general sufficient condition on the formal normal form that ensures that the normalizing transformation to this normal form is holomorphic. In the case{d=1}our methods in particular allow us to obtain a new and direct proof of the convergence of the Chern–Moser normal form.


1982 ◽  
Vol 31 (3) ◽  
pp. 207-211 ◽  
Author(s):  
A. D. Bryuno

2018 ◽  
Vol 25 (2) ◽  
pp. 189-193
Author(s):  
Steven Kay ◽  
Yazan Rawashdeh

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