Kernel Decompositions for Schur Functions on the Polydisk |
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Authors: | Greg Knese |
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Institution: | 1. University of California, Irvine, Irvine, CA, 92697-3875, USA
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Abstract: | 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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Keywords: | |
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