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arXiv · 0711.2970

Free holomorphic functions and interpolation

Gelu Popescu
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Abstract

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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Gelu Popescu. 2009-02-04. Free holomorphic functions and interpolation. https://arxiv.org/abs/0711.2970

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