A Constrained Nevanlinna-Pick Interpolation Problem

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We obtain necessary and sufficient conditions for Nevanlinna-Pick interpolation on the unit disk with the additional restriction that all analytic interpolating functions satisfy $f'(0)=0.$ Alternatively, these results can be interpreted as interpolation results for $H^{\infty}(V),$ where $V$ is the intersection of the bidisk with an algebraic variety. We use an analysis of C*-envelopes to show that these same conditions do not suffice for matrix interpolation.

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Operator Algebras, 47A57

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http://salesiana.dossiersoluciones.com/handle/123456789/142043

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.2032
 http://arxiv.org/abs/0711.2032

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arXiv