We develop a theory of pointwise wedge products of vector-valued functions on the circle and the disc, and obtain results which give rise to a new approach to the analysis of the matricial Nehari problem. We investigate properties of pointwise creation operators and pointwise orthogonal complements in the context of operator theory and the study of vector-valued analytic functions on the unit disc.

中文翻译：

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外部力量和逐点创建运算符

我们发展了一种在圆和圆盘上的矢量值函数的逐点楔积的理论，并获得了一些结果，这些结果为分析矩阵Nehari问题提供了一种新方法。我们在算子理论和单位圆盘上向量值分析函数的研究背景下，研究了点创建算子和点正交补的性质。