广义Schur类中的双切插值
Bitangential interpolation in generalized Schur classes
摘要：
在开单位圆盘和开右半半平面上研究了广义Schur类中矩阵值函数类的双切插值问题，包括在插值点处解不被假设为全纯的问题.对于可逆和奇异的Hermitian Pick矩阵，给出了这些问题的解的线性分式表示。这些表示使用的线性分数变换的范围与适当选择的域，在以前的文件中开发的描述。
英文摘要：
Bitangential interpolation problems in the class of matrix valued functions in the generalized Schur class are considered in both the open unit disc and the open right half plane, including problems in which the solutions is not assumed to be holomorphic at the interpolation points. Linear fractional representations of the set of solutions to these problems are presented for invertible and singular Hermitian Pick matrices. These representations make use of a description of the ranges of linear fractional transformations with suitably chosen domains that was developed in a previous paper.
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