Electron. J. Diff. Eqns., Vol. 2002(2002), No. 69, pp. 1-15.

Resolvent kernel for the Kohn Laplacian on Heisenberg groups

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.

Show me the PDF file (265K), TEX file, and other files for this article.

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
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

Return to the EJDE web page