Abstract.
We study the Nevanlinna-Pick problem for a class of subalgebras of H ∞. This class includes algebras of analytic functions on embedded disks, the algebras of finite codimension in H ∞ and the algebra of bounded analytic functions on a multiply connected domain. Our approach uses a distance formula that generalizes Sarason’s [23] work. We also investigate the difference between scalar-valued and matrix-valued interpolation through the use of C *-envelopes.
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This research was partially supported by the NSF grant DMS 0300128. This research was completed as part of my Ph.D. dissertation at the University of Houston.
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Raghupathi, M. Nevanlinna-Pick Interpolation for \({\mathbb{C}} + BH^\infty\) . Integr. equ. oper. theory 63, 103–125 (2009). https://doi.org/10.1007/s00020-008-1639-9
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DOI: https://doi.org/10.1007/s00020-008-1639-9