On a bitangential interpolation problem for contractive-valued functions on the unit ball

被引：13

作者：

Ball, JA

Bolotnikov, V ^{[1
]}

机构：

[1] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

[2] Virginia Polytech Inst & State Univ, Dept Math, Blacksburg, VA 24061 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2002年 / 353卷 / 1-3期

关键词：

bitangential interpolation; unitary extensions; characteristic function ofa unitary colligation;

D O I：

10.1016/S0024-3795(02)00299-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We solve the bitangential interpolation problem with a finite number of interpolation nodes for a multivariable analogue of the Schur class consisting of matrix-valued analytic functions on the ball. The interpolation conditions are formulated via a generalized functional calculus with operator argument, thereby generalizing in a compact way the simple, first-order interpolation conditions considered for this class of functions in earlier work. The description of all solutions is given via a Redheffer transform whose entries are given explicitly in terms of the interpolation data. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：107 / 147

页数：41

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