Geodesic
Semiclassical Limits of Heat Kernels of Laplacians on the h-Heisenberg Group
T. Kagawa1 ; M. W. Wong2
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
Mathematical modelling of natural phenomena, Tome 8 (2013) no. 1, pp. 132-142.

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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.
DOI : 10.1051/mmnp/20138109

T. Kagawa 1 ; M. W. Wong 2

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 
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T. Kagawa; M. W. Wong. Semiclassical Limits of Heat Kernels of Laplacians on the h-Heisenberg Group. Mathematical modelling of natural phenomena, Tome 8 (2013) no. 1, pp. 132-142. doi : 10.1051/mmnp/20138109. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20138109/

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[2] A. Dasgupta, M. W. Wong CUBO A Mathematical Journal 2010 83 97

[3] B. Gaveau Acta Math. 1977 95 153

[4] A. Hulanicki Studia Math. 1976 165 173

[5] S. Thangavelu. Harmonic Analysis on the Heisenberg Group. Birkhäuser, 1998.

[6] M. W. Wong. Weyl Transforms. Springer-Verlag, 1998.

[7] M. W. Wong Ann. Global Anal. Geom. 2005 271 283

[8] M. W. Wong. Weyl transforms and convolution operators on the Heisenberg group in Pseudo-Differential Operators and Related Topics. Operator Theory : Advances and Applications 164 Birkhäuser, 2005, 115–120.

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