Complete Nevanlinna-Pick kernels

Authors
Agler, J McCarthy, JE
Citation
J. Agler et Je. Mccarthy, Complete Nevanlinna-Pick kernels, J FUNCT ANA, 175(1), 2000, pp. 111-124
Citations number
10
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF FUNCTIONAL ANALYSIS
ISSN journal
00221236 → ACNP
Volume
175
Issue
1
Year of publication
2000
Pages
111 - 124
Database
ISI
SICI code
0022-1236(20000801)175:1<111:CNK>2.0.ZU;2-X
Abstract
We give a new treatment of Quiggin's and McCullough's characterization of c omplete Nevanlinna-Pick kernels. We show that a kernel has the matrix-value d Nevanlinna-Pick property if and only if it has the vector-valued Nevanlin na-Pick property. We give a representation of all complete Nevanlinna-Pick kernels, and show that they are all restrictions of a universal complete Ne vanlinna-Pick kernel. (C) 2000 Academic Press.