Geodesic
Resolvent kernel for the Kohn Laplacian on Heisenberg groups
Electronic journal of differential equations, Tome 2002 (2002)
We present a formula that relates the Kohn Laplacian on Heisenberg groups and the magnetic Laplacian. Then we obtain the resolvent kernel for the Kohn Laplacian and find its spectral density. We conclude by obtaining the Green kernel for fractional powers of the Kohn Laplacian.
Classification : 47A10, 34A05, 35C15, 34B27
Keywords: Kohn Laplacian, Heisenberg group, magnetic Laplacian, resolvent kernel, Green kernel, spectral density 
@article{EJDE_2002__2002__a233,
     author = {Askour,  Neur Eddine and Mouayn,  Zouhair},
     title = {Resolvent kernel for the {Kohn} {Laplacian} on {Heisenberg} groups},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {1004.47002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a233/}
}
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%A Mouayn,  Zouhair
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%J Electronic journal of differential equations
%D 2002
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%F EJDE_2002__2002__a233
Askour,  Neur Eddine; Mouayn,  Zouhair. Resolvent kernel for the Kohn Laplacian on Heisenberg groups. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a233/