HEAT KERNEL TRANSFORM ON NILMANIFOLDS ASSOCIATED TO H-TYPE GROUPS

被引：0
|
作者：
Dasgupta, Aparajita [1 ]
Thangavelu, Sundaram [1 ]
机构：
[1] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India
来源：
TOHOKU MATHEMATICAL JOURNAL | 2012年 / 64卷 / 03期
关键词：
H-type groups; representations; Laplacians; heat kernels; Weil-Brezin transforms; Bergman spaces; HARMONIC-ANALYSIS; HEISENBERG-GROUP;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the heat kernel transform on a nilmanifold Gamma\N associated to an H-type group. Using a reduction technique we reduce the problem to the case of Heisenberg groups. The image of L-2 (Gamma\N) under the heat kernel transform is shown lobe a direct sum of weighted Bergman spaces.
引用
收藏
页码：439 / 451
页数：13
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