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arxiv: 1110.0445 · v2 · pith:XZSWS4WLnew · submitted 2011-10-03 · 🧮 math.FA · math.CV

Pick interpolation in several variables

classification 🧮 math.FA math.CV
keywords pickalgebraballbergmanboundeddescribedualfactorization
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We investigate the Pick problem for the polydisk and unit ball using dual algebra techniques. Some factorization results for Bergman spaces are used to describe a Pick theorem for any bounded region in $\mathbb{C}^d$.

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