Kernel Decompositions for Schur Functions on the Polydisk

被引：0
|
作者：
Greg Knese
机构：
[1] University of California,
[2] Irvine,undefined
来源：
Complex Analysis and Operator Theory | 2011年 / 5卷
关键词：
Schur function; Polydisk; Polydisc; Reproducing kernel; Agler decomposition; Pick interpolation; Primary 47A57; Secondary 42B05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A certain kernel (sometimes called the Pick kernel) associated to Schur functions on the disk is always positive semi-definite. A generalization of this fact is well-known for Schur functions on the polydisk. In this article, we show that the “Pick kernel” on the polydisk has a great deal of structure beyond being positive semi-definite. It can always be split into two kernels possessing certain shift invariance properties.
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页码：1093 / 1111
页数：18
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