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
email@example.com. 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