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arXiv · 2508.17698

Indefinite structure of the Bergman kernel on the open unit disk

Kenta Kojin·Shuhei Kuwahara·Michio Seto
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Abstract

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.

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Kenta Kojin, Shuhei Kuwahara, Michio Seto. 2025-08-25. Indefinite structure of the Bergman kernel on the open unit disk. https://doi.org/10.1016/j.jmaa.2025.130265

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