Properties of CR-functions and their restrictions to submanifolds

1991 ◽  
Vol 50 (2) ◽  
pp. 813-816
Author(s):  
Kh. P. Gambaryan
Keyword(s):  
Cr Functions

CR structures with group action and extendability of CR functions

1985 ◽  
Vol 82 (2) ◽  
pp. 359-396 ◽  
Author(s):  
M. S. Baouendi ◽  
Linda Preiss Rothschild ◽  
E. Treves
Keyword(s):  
Group Action ◽  
Cr Functions ◽  
Cr Structures

scholarly journals Microlocal hypo-analyticity and extension of CR functions

1983 ◽  
Vol 18 (3) ◽  
pp. 331-391 ◽  
Author(s):  
M. S. Baouendi ◽  
C. H. Chang ◽  
F. Trèves
Keyword(s):  
Cr Functions ◽  
Extension Of Cr Functions

scholarly journals Removable singularities of CR functions on singular boundaries

2002 ◽  
Vol 242 (3) ◽  
pp. 491-515 ◽  
Author(s):  
A. Kytmanov ◽  
S. Myslivets ◽  
N. Tarkhanov
Keyword(s):  
Cr Functions ◽  
Removable Singularities

A Remark on Extensions of CR Functions from Hyperplanes

2008 ◽  
Vol 51 (1) ◽  
pp. 21-25
Author(s):  
Luca Baracco
Keyword(s):  
Radon Transform ◽  
Integral Geometry ◽  
Holomorphic Functions ◽  
Holomorphic Extension ◽  
General Statement ◽  
Cr Geometry ◽  
Cr Functions ◽  
Natural Context ◽  
Extension Of Functions

AbstractIn the characterization of the range of the Radon transform, one encounters the problem of the holomorphic extension of functions defined on ℝ2 \ Δℝ (where Δℝ is the diagonal in ℝ2) and which extend as “separately holomorphic” functions of their two arguments. In particular, these functions extend in fact to ℂ2 \ Δℂ where Δℂ is the complexification of Δℝ. We take this theorem from the integral geometry and put it in the more natural context of the CR geometry where it accepts an easier proof and amore general statement. In this new setting it becomes a variant of the celebrated “edge of the wedge” theorem of Ajrapetyan and Henkin.

scholarly journals An edge-of-the-wedge theorem for hypersurface CR functions

2001 ◽  
Vol 11 (4) ◽  
pp. 589-602 ◽  
Author(s):  
Michael G. Eastwood ◽  
C. Robin Graham
Keyword(s):  
Cr Functions

Uniqueness theorem for CR-functions on generating CR-manifolds

1990 ◽  
Vol 48 (6) ◽  
pp. 1204-1206
Author(s):  
V. V. Grachev
Keyword(s):  
Uniqueness Theorem ◽  
Cr Manifolds ◽  
Cr Functions
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