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Rational inner functions on the polydisk -- a survey (2409.14604v3)
Published 22 Sep 2024 in math.FA and math.CV
Abstract: Rational inner functions are a generalization of finite Blaschke products to several variables. In this article we survey a variety of results about rational inner functions related to interpolation, sums of squares formulas, and boundary behavior. We mostly focus on two variables however in the final section we discuss higher dimensions.
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