Neur eddine Askour & Zouhair Mouayn
Abstract:
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.
Submitted March 15, 2002. Published July 24, 2002.
Math Subject Classifications: 47A10, 34A05, 35C15, 34B27.
Key Words: Kohn Laplacian, Heisenberg group, magnetic
Laplacian, resolvent kernel, Green kernel, spectral density.
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Neur eddine Askour (corresponding author) Department of Mathematics Faculty of Sciences and Technics (M'Ghila) BP. 523, CP. 23 000, Beni Mellal, Morocco e-mail: naskour@caramail.com |
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Zouhair Mouayn Department of Mathematics Faculty of Sciences and Technics (M'Ghila) BP. 523, CP. 23 000, Beni Mellal, Morocco e-mail : mouayn@math.net |
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