scholarly journals Spectrum of the Kohn Laplacian on the Rossi sphere

2019 ◽  
Vol 12 (1) ◽  
pp. 125-140 ◽  
Author(s):  
Tawfik Abbas ◽  
Madelyne M. Brown ◽  
Allison Ramasami ◽  
Yunus E. Zeytuncu
Keyword(s):  
Kohn Laplacian

Estimates of the Green’s Function and its Regular Part on Heisenberg Group Domains

2011 ◽  
Vol 11 (3) ◽  
Author(s):  
Najoua Gamara ◽  
Habiba Guemri
Keyword(s):  
Heisenberg Group ◽  
Green’S Function ◽  
Green's Function ◽  
Forthcoming Paper ◽  
Regular Part ◽  
Kohn Laplacian ◽  
Preliminary Work ◽  
Characteristic Points ◽  
The Given ◽  
Euclidean Domains

AbstractThis paper is a preliminary work on Heisenberg group domains, devoted to the study of the Green’s function for the Kohn Laplacian on domains far away from the set of characteristic points. We give some estimates of the Green’s function, its regular part and their derivatives analogous to those proved by A. Bahri, Y.Y. Li, O. Rey in [1], and O. Rey in [16] for Euclidean domains. While the study of such functions on the set of characteristic points of the given domain will be discussed in a forthcoming paper.

scholarly journals Hearing pseudoconvexity with the Kohn Laplacian

2004 ◽  
Vol 331 (2) ◽  
pp. 475-485 ◽  
Author(s):  
Siqi Fu
Keyword(s):  
Kohn Laplacian
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