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Nevanlinna-Pick interpolation on distinguished varieties in the bidisk (1009.4144v2)
Published 21 Sep 2010 in math.FA
Abstract: This article treats Nevanlinna-Pick interpolation in the setting of a special class of algebraic curves called distinguished varieties. An interpolation theorem, along with additional operator theoretic results, is given using a family of reproducing kernels naturally associated to the variety. The examples of the Neil parabola and doubly connected domains are discussed.