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

页码：439 / 451

页数：13

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