scholarly journals On the spectral Nevanlinna–Pick problem

2005 ◽  
Vol 170 (1) ◽  
pp. 23-55 ◽  
Author(s):  
Constantin Costara
Keyword(s):  
Pick Problem

scholarly journals Solution of a multiple Nevanlinna–Pick problem for Schur functions via orthogonal rational functions

Analysis ◽  
2008 ◽  
Vol 28 (1) ◽  
Author(s):  
Adhemar Bultheel ◽  
Andreas Lasarow
Keyword(s):  
Unique Solution ◽  
Interpolation Problem ◽  
Schur Functions ◽  
Rational Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
Orthogonal Rational Functions ◽  
All Solutions ◽  
Pick Problem ◽  
Complex Valued

An interpolation problem of Nevanlinna–Pick type for complex-valued Schur functions in the open unit disk is considered. We prescribe the values of the function and its derivatives up to a certain order at finitely many points. Primarily, we study the case that there exist many Schur functions fulfilling the required conditions. For this situation, an application of the theory of orthogonal rational functions is used to characterize the set of all solutions of the problem in question. Moreover, we treat briefly the case of exactly one solution and present an explicit description of the unique solution in that case.

scholarly journals The two-by-two spectral Nevanlinna-Pick problem

2003 ◽  
Vol 356 (2) ◽  
pp. 573-585 ◽  
Author(s):  
Jim Agler ◽  
N. J. Young
Keyword(s):  
Pick Problem

Complete indeterminacy of the Nevanlinna-Pick problem in the class S[a,b]

2007 ◽  
Vol 51 (11) ◽  
pp. 17-29
Author(s):  
Yu. M. Dyukarev ◽  
I. Yu. Serikova
Keyword(s):  
Pick Problem

A Refined Schwarz Lemma for the Spectral Nevanlinna-Pick Problem

2013 ◽  
Vol 8 (2) ◽  
pp. 529-536 ◽  
Author(s):  
Line Baribeau ◽  
Adama S. Kamara
Keyword(s):  
Schwarz Lemma ◽  
Pick Problem

On Hyperbolic Divided Differences and the Nevanlinna-Pick Problem

2008 ◽  
Vol 9 (2) ◽  
pp. 391-405 ◽  
Author(s):  
Line Baribeau ◽  
Patrice Rivard ◽  
Elias Wegert
Keyword(s):  
Divided Differences ◽  
Pick Problem
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