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. <i>Electronic Journal of Differential Equations, 2002</i>(69), pp. 1-15.

Rights

Attribution 4.0 International

Rights Holder

Rights License