Free holomorphic functions and interpolation

Mathematics – Functional Analysis

Scientific paper

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20 pages

Scientific paper

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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