| Hyperbolic L2-modules with Reproducing Kernels |
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| 作者姓名： | David EELPODE Frank SOMMEN |
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| 作者单位： | Ghent University, Department of Mathematical Analysis, Clifford Research Group B-9000 Gent, Belgium |
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| 摘 要： |
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| 关 键 词： | 双曲线空间 Clifford分析 Cauchy变换 Dirac 算子 |
| 收稿时间： | 2004-04-15 |
| 修稿时间： | 2004-04-152004-08-26 |
Hyperbolic L
2–modules with Reproducing Kernels |
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| David EELPODE Frank SOMMEN.Hyperbolic L2-modules with Reproducing Kernels[J].Acta Mathematica Sinica,2006,22(3):935-944. |
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| Authors: | David Eelpode Frank Sommen |
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| Institution: | (1) Ghent University, Department of Mathematical Analysis, Clifford Research Group, B-9000 Gent, Belgium |
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| Abstract: | In this paper, the Dirac operator on the Klein model for the hyperbolic space is considered. A function space containing L2-functions on the sphere S^m-1 in R^m, which are boundary values of solutions for this operator, is defined, and it is proved that this gives rise to a Hilbert module with a reproducing kernel. |
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| Keywords: | Hyperbolic space Clifford analysis Cauchy transform Lie sphere |
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