| L~2-SPACES AND SUB-LAPLACIANS ON HOMO GENEOUS GROUPS |
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| 作者姓名： | 孙利民 |
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| 作者单位： | Department of |
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| 摘 要： | In this paper,we introduce a special class of nilpotent Lie groups defined by hermitianmaps,which includes all the groups of affine holomorphic automorphisims of Siegel domains oftype Ⅱ,in particular,the Heisenberg group.And we study harmonic analysis on these groupsas spectral theory of the associated Sub-Laplacian instead of the group representation theoryin usual way.
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L2-spaces and Sub-Laplacians on homogeneous groups |
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| Sun Limin.L~2-SPACES AND SUB-LAPLACIANS ON HOMO GENEOUS GROUPS[J].Analysis in Theory and Applications,1992,8(1):59-74. |
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| Authors: | Sun Limin |
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| Institution: | 1. Department of Mathematics, Hangzhou University, 310028, Hangzhou, PRC
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| Abstract: | In this paper, we introduce a special class of nilpotent Lie groups defined by hermitian maps, which includes all the groups of affine holomorphic automorphisims of Siegel domains of type II, in particular, the Heisenberg group. And we study harmonic analysis on these groups as spectral theory of the associated Sub-Laplacian instead of the group representation theory in usual way. |
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