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math.FA2009
Agler interpolation families of kernels
Michael Jury, Greg Knese, Scott McCullough
An abstract Pick interpolation theorem for a family of positive semi-definite kernels on a set is formulated. The result complements those in \cite{Ag} and \cite{AMbook} and wi…
math.FA2009★ 11 cited
Algebraic pairs of isometries
Jim Agler, John McCarthy, Greg Knese
We consider pairs of commuting isometries that are annihilated by a polynomial. We show that the polynomial must be inner toral, which is a geometric condition on its zero set. We…