| Issue |
Math. Model. Nat. Phenom.
Volume 8, Number 1, 2013
Harmonic analysis
|
|
|---|---|---|
| Page(s) | 132 - 142 | |
| DOI | https://doi.org/10.1051/mmnp/20138109 | |
| Published online | 28 January 2013 | |
Semiclassical Limits of Heat Kernels of Laplacians on the h-Heisenberg Group
1 Department of Mathematics, Tokyo
University of Science, 2641
Yamazaki Noda, Chiba ( 278-8510), Japan
2 Department of Mathematics and
Statistics, York University, 4700
Keele Street Toronto, Ontario
M3J 1P3,
Canada
∗ Corresponding author. E-mail: e-mail
mwwong@mathstat.yorku.ca. This research has been supported by a discovery grant
from the Natural Sciences and Engineering Research Council of Canada.
We construct the heat kernels of the sub-Laplacian and the Laplacian on the h-Heisenberg group and compute the limits as h → 0 of the heat kernels.
Mathematics Subject Classification: 47F05 / 47G30
Key words: h-Heisenberg group / sub-Laplacian / Laplacian / Fourier-Wigner transforms / Hermite functions / heat kernels / semiclassical limits
© EDP Sciences, 2013
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