Nevanlinna-Pick interpolation on distinguished varieties in the bidisk

Details Nevanlinna-Pick interpolation on distinguished varieties in the bidisk Nevanlinna-Pick interpolation on distinguished varieties in the bidisk

2010-09-21

arxiv.org/abs/1009.4144v2

Mathematics

Functional Analysis

31 pages. The question left open at the end of version 1 has been answered in the affirmative; see Theorem 1.12 and Corollary

Scientific paper

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.

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