Functional models and asymptotically orthonormal sequences

被引：14

作者：

Chalendar, I ^{[1
]}

Fricain, E

Timotin, D

机构：

[1] Univ Lyon 1, Inst Girard Desargues, UFR Math, F-69622 Villeurbanne, France

[2] Romanian Acad, Math Inst, Bucharest 70700, Romania

来源：

ANNALES DE L INSTITUT FOURIER | 2003年 / 53卷 / 05期

关键词：

Hardy space; functional model; asymptotically orthonormal sequence;

D O I：

10.5802/aif.1987

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose H-2 is the Hardy space of the unit disc in the complex plane, while Theta is an inner function. We give conditions for a sequence of normalized reproducing kernels in the model space K-Theta = H-2 circle minus ThetaH(2) to be asymptotically close to an orthonormal sequence. The completeness problem is also investigated.

引用

页码：1527 / +

页数：24

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