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Hyperbolic L_2-modules with Reproducing Kernels
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作者 david eelpode Frank SOMMEN 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第3期935-944,共10页
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 operato... 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. 展开更多
关键词 Hyperbolic space Clifford analysis Cauchy transform Lie sphere
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