On left inverses in the Lempert theorem

Fuente: arXiv
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Main Author: Zwonek, Włodzimierz
Format: Preprint
Published: 2025
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author Zwonek, Włodzimierz
author_facet Zwonek, Włodzimierz
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_22301
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On left inverses in the Lempert theorem
Zwonek, Włodzimierz
Complex Variables
32F45
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.
title On left inverses in the Lempert theorem
topic Complex Variables
32F45
url https://arxiv.org/abs/2511.22301