H-type group, a-Weyl transform and pseudo-differential operators
H-type group, a-Weyl transform and pseudo-differential operators
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DOI：
10.12988/ijma.2015.5259
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Mingkai Yin;Jianxun He
中科院分区：
文献类型：
--
作者：
Mingkai Yin;Jianxun He
本文讨论了h型群上的伪微分算子，给出了a-Weyl变换的迹式。同时给出了h上Hilbert-Schmidt类和迹类伪微分算子的刻画
This paper is about the pseudo-differential operator on the H-type group, denoted by H. We present the trace formula for the a-Weyl transform. Also, we give the characterization of Hilbert-Schmidt class and trace class pseudo-differential operators on H. Mathematics Subject Classification: 47G30