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Displaying similar documents to “Spectral versus classical Nevanlinna-Pick interpolation in dimension two.”

On the spectral Nevanlinna-Pick problem

Constantin Costara (2005)

Studia Mathematica

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We give several characterizations of the symmetrized n-disc Gₙ which generalize to the case n ≥ 3 the characterizations of the symmetrized bidisc that were used in order to solve the two-point spectral Nevanlinna-Pick problem in ℳ ₂(ℂ). Using these characterizations of the symmetrized n-disc, which give necessary and sufficient conditions for an element to belong to Gₙ, we obtain necessary conditions of interpolation for the general spectral Nevanlinna-Pick problem. They also allow us...