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Semiclassical Limits of Heat Kernels of Laplacians on the h-Heisenberg Group
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Harmonic analysis
Subject
Fourier-Wigner transforms
Hermite functions
sub-Laplacian
heat kernels
semiclassical limits
Partial differential operators (should also be assigned at least one other classification number in section 47)
Pseudodifferential operators
h-Heisenberg group
Laplacian
Title
Semiclassical Limits of Heat Kernels of Laplacians on the h-Heisenberg Group
Date
2013-01-01
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has manifestation of work
http://hub.abes.fr/edp/periodical/mmnp/2013/volume_8/issue_1/mmnp201381p132/m/web
http://hub.abes.fr/edp/periodical/mmnp/2013/volume_8/issue_1/mmnp201381p132/m/print
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http://hub.abes.fr/edp/periodical/mmnp/2013/volume_8/issue_1/mmnp201381p132/authorship/1
http://hub.abes.fr/edp/periodical/mmnp/2013/volume_8/issue_1/mmnp201381p132/authorship/8
http://hub.abes.fr/edp/periodical/mmnp/2013/volume_8/issue_1/mmnp201381p132/authorship/2
http://hub.abes.fr/edp/periodical/mmnp/2013/volume_8/issue_1/mmnp201381p132/authorship/4
http://hub.abes.fr/edp/periodical/mmnp/2013/volume_8/issue_1/mmnp201381p132/authorship/3
http://hub.abes.fr/edp/periodical/mmnp/2013/volume_8/issue_1/mmnp201381p132/authorship/5
http://hub.abes.fr/edp/periodical/mmnp/2013/volume_8/issue_1/mmnp201381p132/authorship/7
http://hub.abes.fr/edp/periodical/mmnp/2013/volume_8/issue_1/mmnp201381p132/authorship/6
Author
Kagawa, T.
Wong, M. W.
Editor
Damanik, David
Vougalter, Vitali
Finkelshtein, Andrei Martinez
Wang Yang
Wong, M. W.
Iosevich Alex
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.
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research-article
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mmnp201381p132
Date Copyrighted
2013-01-01
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© EDP Sciences, 2013
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Mathematical Modelling of Natural Phenomena
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