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Semiclassical Limits of Heat Kernels of Laplacians on the h-Heisenberg Group

Published online by Cambridge University Press:  28 January 2013

T. Kagawa  and
M. W. Wong
T. Kagawa
Affiliation:
Department of Mathematics, Tokyo University of Science, 2641 Yamazaki Noda, Chiba (278-8510), Japan
M. W. Wong*
Affiliation:
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.
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Abstract

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.

Keywords

h-Heisenberg groupsub-LaplacianLaplacianFourier-Wigner transformsHermite functionsheat kernelssemiclassical limits
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 8 , Issue 1: Harmonic analysis , 2013 , pp. 132 - 142
Copyright
© EDP Sciences, 2013

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References

Références

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