Indefinite structure of the Bergman kernel on the open unit disk

Fuente: arXiv
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Main Authors: Kojin, Kenta, Kuwahara, Shuhei, Seto, Michio
Format: Preprint
Published: 2025
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author Kojin, Kenta
Kuwahara, Shuhei
Seto, Michio
author_facet Kojin, Kenta
Kuwahara, Shuhei
Seto, Michio
contents In this paper, we focus on an indefinite structure lying behind the Bergman kernel on the open unit disk. In particular, an invariant distance, birational maps and an indefinite kernel are constructed from the Bergman kernel, and we deal with their interaction.
format Preprint
id arxiv_https___arxiv_org_abs_2508_17698
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Indefinite structure of the Bergman kernel on the open unit disk
Kojin, Kenta
Kuwahara, Shuhei
Seto, Michio
Complex Variables
Functional Analysis
In this paper, we focus on an indefinite structure lying behind the Bergman kernel on the open unit disk. In particular, an invariant distance, birational maps and an indefinite kernel are constructed from the Bergman kernel, and we deal with their interaction.
title Indefinite structure of the Bergman kernel on the open unit disk
topic Complex Variables
Functional Analysis
url https://arxiv.org/abs/2508.17698