Resolvent Kernel for the Kohn Laplacian on Heisenberg Groups
Date
2002-07-24
Authors
Askour, Neur eddine
Mouayn, Zouhair
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Kohn Laplacian, Heisenberg group, Magnetic Laplacian, Resolvent kernel, Green kernel, Spectral density
Citation
Askour, N. E., & Mouayn, Z. (2002). Resolvent kernel for the Kohn Laplacian on Heisenberg groups. Electronic Journal of Differential Equations, 2002(69), pp. 1-15.
Rights
Attribution 4.0 International