TEST FUNCTIONS IN CONSTRAINED INTERPOLATION

被引：5
|
作者：
Dritschel, Michael A. [1 ]
Pickering, James [1 ]
机构：
[1] Newcastle Univ, Dept Math, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2012年 / 364卷 / 11期
基金：
英国工程与自然科学研究理事会;
关键词：
Interpolation; realizations; Nevanlinna-Pick; test functions; NEVANLINNA-PICK INTERPOLATION;
D O I：
10.1090/S0002-9947-2012-05515-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a set of test functions for H-1(infinity), the algebra of bounded holomorphic functions on the disk with first derivative equal to 0; whose interpolation problem was studied by Davidson, Paulsen; Raghupathi and Singh (2009). We show that this set of test functions is minimal by relating these ideas to realization and interpolation problems.
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页码：5589 / 5604
页数：16
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