Hilbert function spaces and the Nevanlinna-Pick problem on the polydisc |
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Authors: | David Scheinker |
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Institution: | University of California San Diego, La Jolla, CA, United States |
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Abstract: | In 4], Agler and McCarthy (2005) used Hilbert function spaces to study the uniqueness properties of the Nevanlinna-Pick problem on the bidisc. In this work we give a geometric procedure for constructing a Nevanlinna-Pick problem on Dn with a specified set of uniqueness. On the way to establishing this procedure, we prove a result about Hilbert function spaces and partially answer a question posed by Agler and McCarthy. |
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Keywords: | Pick interpolation Hilbert function spaces Inner varieties Distinguished varieties |
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