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arXiv · 2511.22301

On left inverses in the Lempert theorem

Włodzimierz Zwonek
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Abstract

In the paper we discuss the problem of existence, uniqueness and extension through the boundary of left inverses to complex geodesics in Lempert domains. We concentrate on special left inverses (so called Lempert left inverses) characterized by the fact that their fibers are intersections of affine hyperplanes with the domain.

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Włodzimierz Zwonek. 2025-11-27. On left inverses in the Lempert theorem. https://arxiv.org/abs/2511.22301

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