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arXiv · 2203.17000

Rational penta-inner functions and the distinguished boundary of the pentablock

Abhay Jindal·Poornendu Kumar
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Abstract

In this note, we give a description of rational maps from the open unit disc $\mathbb{D}$ to the pentablock that map the boundary of $\mathbb{D}$ to the distinguished boundary of the pentablock. We also obtain a new characterization of the distinguished boundary of the pentablock.

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Abhay Jindal, Poornendu Kumar. 2022-03-31. Rational penta-inner functions and the distinguished boundary of the pentablock. https://arxiv.org/abs/2203.17000

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