典型文献
A Note on the Heat Kernel for the Rescaled Harmonic Oscillator from Two Step Nilpotent Lie Groups
文献摘要：
In this note,we use Schr?dinger representations and the Fourier transform on two step nilpotent Lie groups to compute the explicit formula of the sub-Laplacian operator and its symbol,which is associated with the rescaled harmonic oscillator.Then we can give an explicit formula for the heat kernel of the rescaled harmonic oscillator for the singularity at the origin.Our results are useful for the general two step nilpotent Lie groups,including the Heisenberg group and H-type group.
文献关键词：
中图分类号：
作者姓名：
Zhi Peng YANG
作者机构：
Department of Mathematics,Yunnan Normal University,Kunming 650500,P.R.China
文献出处：
引用格式：
[1]Zhi Peng YANG-.A Note on the Heat Kernel for the Rescaled Harmonic Oscillator from Two Step Nilpotent Lie Groups)[J].数学学报（英文版）,2022(09):1597-1611
A类：
Rescaled,Nilpotent
B类：
Note,Heat,Kernel,Harmonic,Oscillator,from,Two,Step,Lie,Groups,In,this,note,we,Schr,dinger,representations,Fourier,transform,two,step,nilpotent,groups,compute,explicit,formula,sub,Laplacian,operator,its,symbol,which,associated,rescaled,harmonic,oscillator,Then,can,give,heat,kernel,singularity,origin,Our,results,are,useful,general,including,Heisenberg,type
AB值：
0.609363
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