Agler interpolation families of kernels

Abstract

An abstract Pick interpolation theorem for a family of positive semi-definite kernels on a set $X$ is formulated. The result complements those in \cite{Ag} and \cite{AMbook} and will subsequently be applied to Pick interpolation on distinguished varieties \cite{JKM}.

14 pages

References in corpus (3)

• Ideal Structure in Free Semigroupoid Algebras from Directed Graphs
• Test Functions in Constrained Interpolation
• Abrahamse's interpolation theorem and Fuchsian groups