Complete Nevanlinna-Pick Kernels

  title={Complete Nevanlinna-Pick Kernels},
  author={Jim Agler and John E. McCarthy},
We give a new treatment of Quiggin’s and McCullough’s characterization of complete Nevanlinna-Pick kernels. We show that a kernel has the matrix-valued NevanlinnaPick property if and only if it has the vector-valued Nevanlinna-Pick property. We give a representation of all complete Nevanlinna-Pick kernels, and show that they are all restrictions of a universal complete Nevanlinna-Pick kernel. 

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