pick theorem
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scholarly journals The Nevanlinna-Pick theorem and a non-positive definite matrix

1987 ◽  
Vol 36 (3) ◽  
pp. 361-365
Author(s):  
Takahiko Nakazi
Keyword(s):  
Unit Disc ◽  
Positive Definite Matrix ◽  
Positive Definite ◽  
Bounded Sequence ◽  
Open Unit ◽  
Open Unit Disc ◽  
Interpolation Sequence ◽  
Pick Theorem

Let {zj} be an interpolation sequence in the open unit disc and {wj} a bounded sequence. In this note, it is shown that there is a function F in H∞ + C satisfying ‖F‖ ≤ 1 and as j → ∞ if and only if there exists a compact matrix [tij] such that on where .

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