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Complete Nevanlinna–Pick Property of Dirichlet-Type Spaces

✍ Scribed by Serguei Shimorin

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
164 KB
Volume
191
Category
Article
ISSN
0022-1236

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Let k be the reproducing kernel for a Hilbert space HðkÞ of analytic functions on B d , the open unit ball in C d , d51. k is called a complete NP kernel if k 0 1 and if 1 À 1=k l ðzÞ is positive definite on B d  B d . Let D be a separable Hilbert space, and consider HðkÞ D ffi Hðk; DÞ, and think o