%0 Journal Article
%T Kernel decompositions for Schur functions on the polydisk
%A Greg Knese
%J Mathematics
%D 2009
%I arXiv
%R 10.1007/s11785-010-0048-7
%X 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.
%U http://arxiv.org/abs/0909.1828v1