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arxiv: 1103.1005 · v4 · pith:FI4RXPXDnew · submitted 2011-03-05 · 🧮 math.FA · math.AC

On the reproducing kernel of a Pontryagin space of vector valued polynomials

classification 🧮 math.FA math.AC
keywords polynomialskernelpontryaginreproducingspacetimesvectorconditions
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We give necessary and sufficient conditions under which the reproducing kernel of a Pontryagin space of $d \times 1$ vector polynomials is determined by a generalized Nevanlinna pair of $d \times d$ matrix polynomials.

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