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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

On the tangential interpolation problem for $ H\sb 2$ functions


Authors: Daniel Alpay, Vladimir Bolotnikov and Yossi Peretz
Journal: Trans. Amer. Math. Soc. 347 (1995), 675-686
MSC: Primary 47A57; Secondary 30E05, 46E22
DOI: https://doi.org/10.1090/S0002-9947-1995-1277087-2
MathSciNet review: 1277087
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Abstract: The aim of this paper is to solve a matrix-valued version of the Nevanlinna-Pick interpolation problem for $ {H_2}$ functions. We reduce this problem to a Nevanlinna-Pick interpolation problem for Schur functions and obtain a linear fractional transformation which describes the set of all solutions.


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DOI: https://doi.org/10.1090/S0002-9947-1995-1277087-2
Article copyright: © Copyright 1995 American Mathematical Society