On three Krein extension problems and some generalizations

被引：20

作者：

Arov, DZ ^{[1
]}

Dym, H

机构：

[1] S Ukranian Pedag Univ, Dept Math, UA-270020 Odessa, Ukraine

[2] Weizmann Inst Sci, Dept Theoret Math, IL-76100 Rehovot, Israel

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 1998年 / 31卷 / 01期

关键词：

D O I：

10.1007/BF01203457

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Three basic extension problems which were initiated by M. G. Krein are discussed and further developed. Connections with interpolation problems in the Caratheodory class are explained. Some tangential and bitangential versions are considered. Full characterizations of the classes of resolvent matrices for these problems are given and formulas for the resolvent matrices of left tangential problems are obtained using reproducing kernel Hilbert space methods.

引用

页码：1 / 91

页数：91

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