Hyperbolic \(L_2\)-modules with reproducing kernels (Q2508615)
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| Language | Label | Description | Also known as |
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| English | Hyperbolic \(L_2\)-modules with reproducing kernels |
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Hyperbolic \(L_2\)-modules with reproducing kernels (English)
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13 October 2006
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The Dirac operator on the Klein model for the hyperbolic space is considered. A function space containing \(L_2\)-functions on the sphere \(S^{m-1}\) in \(\mathbb{R}^n\), 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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