Mixed Löwner and Nevanlinna-Pick Interpolation |
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Authors: | Du?an R Georgijevi? |
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Institution: | (1) Faculty of Mechanical Engineering, , Ulica Kraljice Marije 16, 11120 Beograd 35, Serbia and Monte Negro |
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Abstract: | A mixed type, L?wner and Nevanlinna-Pick directional two-sided interpolation problem is considered. A necessary and sufficient
condition for the problem to have a solution is established, in terms of properties of the Pick kernel to the problem. As
well, a parametrization of the set of all real rational solutions of minimal degree is given. The corresponding Nevanlinna-Pick
boundary-interior interpolation problem is also considered and a solvability condition for it is obtained. The approach to
the problem is via functional Hilbert spaces. |
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Keywords: | Primary 30E05 Secondary 46E22 47A56 |
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