Discrete time-variant interpolation as classical interpolation with an operator argument

被引：11
作者：
Foias, C
Frazho, AE
Gohberg, I
Kaashoek, MA
机构：
[1] INDIANA UNIV,DEPT MATH,BLOOMINGTON,IN 47405
[2] PURDUE UNIV,SCH AERONAUT & ASTRONAUT,W LAFAYETTE,IN 47907
[3] TEL AVIV UNIV,SCH MATH SCI,RAYMOND & BEVERLY SACKLER FAC EXACT SCI,IL-69978 RAMAT AVIV,TEL AVIV,ISRAEL
[4] VRIJE UNIV AMSTERDAM,FAC WISKUNDE & INFORMAT,NL-1081 HV AMSTERDAM,NETHERLANDS
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 1996年 / 26卷 / 04期
关键词：
D O I：
10.1007/BF01191244
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Necessary and sufficient conditions are derived for the existence of solutions to discrete time-variant interpolation problems of Nevanlinna-Pick and Nudelman type. The proofs are based on a reduction scheme which allows one to treat these time-variant interpolation problems as classical interpolation problems for operator-valued functions with operator arguments. The latter ones are solved by using the commutant lifting theorem.
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收藏
页码：371 / 403
页数：33
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