ON KAC'S PRINCIPLE OF NOT FEELING THE BOUNDARY FOR THE KOHN LAPLACIAN ON THE HEISENBERG GROUP
File(s)
Accepted version
Author(s)
Ruzhansky, M
Suragan, D
Type
Journal Article
Abstract
In this note we construct an integral boundary condition for the
Kohn Laplacian in a given domain on the Heisenberg group extending to the
setting of the Heisenberg group M. Kac’s “principle of not feeling the boundary”.
This also amounts to finding the trace on smooth surfaces of the Newton
potential associated to the Kohn Laplacian. We also obtain similar results for
higher powers of the Kohn Laplacian.
Kohn Laplacian in a given domain on the Heisenberg group extending to the
setting of the Heisenberg group M. Kac’s “principle of not feeling the boundary”.
This also amounts to finding the trace on smooth surfaces of the Newton
potential associated to the Kohn Laplacian. We also obtain similar results for
higher powers of the Kohn Laplacian.
Date Issued
2015-06-26
Date Acceptance
2015-01-26
Citation
Proceedings of the American Mathematical Society, 2015, 144 (2), pp.709-721
ISSN
1088-6826
Publisher
American Mathematical Society
Start Page
709
End Page
721
Journal / Book Title
Proceedings of the American Mathematical Society
Volume
144
Issue
2
Copyright Statement
First published in Proceedings of the American Mathematical Society in volume 144 number 2, published by the American Mathematical Society
Sponsor
Engineering & Physical Science Research Council (EPSRC)
The Leverhulme Trust
Grant Number
EP/K039407/1
RPG-2014-002
Subjects
Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
Sub-Laplacian
Kohn Laplacian
integral boundary conditions
Heisenberg group
Newton potential
OPERATORS
Publication Status
Published