Journal
JOURNAL OF FUNCTIONAL ANALYSIS
Volume 175, Issue 1, Pages 111-124Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1006/jfan.2000.3599
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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 Nevanlinna-Pick 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. (C) 2000 Academic Press.
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