Analytic functions on the bidisk at boundary singularities via Hilbert space methods

Analytic functions on the bidisk at boundary singularities via Hilbert space methods
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通过希尔伯特空间方法在边界奇点处的 bidisk 上解析函数

DOI:
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发表时间:
2016
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影响因子:
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通讯作者:
R. Tully
R. Tully
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作者:
R. Tully

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研究了双圆盘Schur类中函数的广义Hilbert空间模型在满足增长条件的奇异边界点处的行为。我们研究了Schur函数的边界行为和相应的广义Hilbert空间模型的几何之间的关系。我们描述了一个几何条件相关联的运营商,分类的行为的基础舒尔函数的方向导数在一个carapoint。
We investigate the behavior of a generalized Hilbert space model of a function in the Schur class of the bidisk at singular boundary points that satisfy a growth condition. We examine the relationship between the boundary behavior of Schur functions and the geometry of corresponding generalized Hilbert space models. We describe a geometric condition on an associated operator that classifies the behavior of the directional derivative of the underlying Schur function at a carapoint.
DOI: 10.1007/s00208-011-0650-7
发表时间: 2010-02
影响因子: 1.4
作者:
J. Agler;John E. McCarthy;N. Young
通讯作者: J. Agler;John E. McCarthy;N. Young