Characteristic foliations on maximally real submanifolds of Cn and removable singularities for CR functions

Author(s):  
J. Merker ◽  
E. Porten
2002 ◽  
Vol 242 (3) ◽  
pp. 491-515 ◽  
Author(s):  
A. Kytmanov ◽  
S. Myslivets ◽  
N. Tarkhanov

1994 ◽  
Vol 41 (1) ◽  
pp. 111-119 ◽  
Author(s):  
John T. Anderson ◽  
Joseph A. Cima

1988 ◽  
Vol 26 (1-2) ◽  
pp. 117-143 ◽  
Author(s):  
B. Jöricke

2008 ◽  
Vol 60 (6) ◽  
pp. 1219-1239 ◽  
Author(s):  
Luca Baracco ◽  
Giuseppe Zampieri

AbstractThis paper deals with the extension of CR functions fromamanifold M ⊂ ℂn into directions produced by higher order commutators of holomorphic and antiholomorphic vector fields. It uses the theory of complex “sectors” attached to real submanifolds introduced in recent joint work of the authors with D. Zaitsev. In addition, it develops a new technique of approximation of sectors by smooth discs.


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