scholarly journals Rational dependence of smooth and analytic CR mappings on their jets

1999 ◽  
Vol 315 (2) ◽  
pp. 205-249 ◽  
Author(s):  
M.S. Baouendi ◽  
P. Ebenfelt ◽  
Linda Preiss Rothschild
Keyword(s):  
Cr Mappings ◽  
Rational Dependence

scholarly journals Regularity of CR mappings of abstract CR structures

2019 ◽  
Vol 31 (01) ◽  
pp. 2050009
Author(s):  
Bernhard Lamel ◽  
Nordine Mir
Keyword(s):  
Euclidean Space ◽  
Infinite Order ◽  
Extension Property ◽  
Cr Manifold ◽  
Generic Point ◽  
Cr Mappings ◽  
Complex Euclidean Space ◽  
Cr Structures ◽  
Cr Map ◽  
Regularity Results

We study the [Formula: see text] regularity problem for CR maps from an abstract CR manifold [Formula: see text] into some complex Euclidean space [Formula: see text]. We show that if [Formula: see text] satisfies a certain condition called the microlocal extension property, then any [Formula: see text]-smooth CR map [Formula: see text], for some integer [Formula: see text], which is nowhere [Formula: see text]-smooth on some open subset [Formula: see text] of [Formula: see text], has the following property: for a generic point [Formula: see text] of [Formula: see text], there must exist a formal complex subvariety through [Formula: see text], tangent to [Formula: see text] to infinite order, and depending in a [Formula: see text] and CR manner on [Formula: see text]. As a consequence, we obtain several [Formula: see text] regularity results generalizing earlier ones by Berhanu–Xiao and the authors (in the embedded case).

scholarly journals Determination of formal CR mappings by a finite jet

2009 ◽  
Vol 222 (5) ◽  
pp. 1611-1648 ◽  
Author(s):  
Robert Juhlin
Keyword(s):  
Cr Mappings

scholarly journals Some regularity theorems for CR mappings

2012 ◽  
Vol 274 (1-2) ◽  
pp. 117-144
Author(s):  
G. P. Balakumar ◽  
Kaushal Verma
Keyword(s):  
Cr Mappings

scholarly journals Regularity of CR mappings between algebraic hypersurfaces

1996 ◽  
Vol 125 (1) ◽  
pp. 13-36 ◽  
Author(s):  
M. S. Baouendi ◽  
Xiaojun Huang ◽  
Linda Preiss Rothschild
Keyword(s):  
Cr Mappings ◽  
Algebraic Hypersurfaces
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