Geodesic
Resolvent kernel for the Kohn Laplacian on Heisenberg groups
Electronic Journal of Differential Equations, Tome 2002 (2002).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a133,
     author = {Askour, Neur Eddine and Mouayn, Zouhair},
     title = {Resolvent kernel for the {Kohn} {Laplacian} on {Heisenberg} groups},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2002},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a133/}
}
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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__a133/