The Takagi problem on the disk and bidisk
classification
🧮 math.FA
math.CV
keywords
diskpickbidisknumberproblemrationalcircleeigenvalues
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We give a new proof on the disk that a Pick problem can be solved by a rational function that is unimodular on the unit circle and for which the number of poles inside the disk is no more than the number of non-positive eigenvalues of the Pick matrix. We use this method to find rational solutions to Pick problems on the bidisk.
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