Resolvent kernel for the Kohn Laplacian on Heisenberg groups

Resolvent kernel for the Kohn Laplacian on Heisenberg groups

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.

Bibliographic Details
Main Authors: Neur Eddine Askour, Zouhair Mouayn
Format: Article
Language:English
Published: Texas State University 2002-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Kohn Laplacian
Heisenberg group
magnetic Laplacian
resolvent kernel
Green kernel
spectral density.
Online Access:http://ejde.math.txstate.edu/Volumes/2002/69/abstr.html
Description
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.
ISSN:1072-6691

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