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arxiv: 0711.2970 · v2 · submitted 2007-11-19 · 🧮 math.FA · math.OA

Free holomorphic functions and interpolation

classification 🧮 math.FA math.OA
keywords interpolationanalyticfunctionsunitanalogueballclassicalconcerning
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In this paper we obtain a noncommutative multivariable analogue of the classical Nevanlinna-Pick interpolation problem for analytic functions with positive real parts on the open unit disc. As consequences, we deduce some results concerning operator-valued analytic interpolation on the unit ball on C^n.

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