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Generalized $γ$-generating matrices and Nehari-Takagi problem (1512.06415v1)
Published 20 Dec 2015 in math.FA
Abstract: Under certain mild assumption, we establish a one-to-one correspondence between solutions of the Nehari-Takagi problem and solutions of some Takagi-Sarason interpolation problem. The resolvent matrix of the Nehari-Takagi problem is shown to belong to the class of so-called generalized $\gamma$-generating matrices, which is introduced and studied in the paper.
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