Indefinite structure of the Bergman kernel on the open unit disk

Name: Indefinite structure of the Bergman kernel on the open unit disk
Keywords: Complex Variables, FOS: Mathematics, Complex Variables (math.CV), Functional Analysis, Functional Analysis (math.FA)

Kojin, Kenta; Kuwahara, Shuhei; Seto, Michio

Found an issue? Give us feedback

arXiv.org e-Print Ar...arrow_drop_down

arXiv.org e-Print Archive

Preprint . 2025

Data sources: arXiv.org e-Print Archive

Journal of Mathematical Analysis and Applications

Article . 2026 . Peer-reviewed

License: Elsevier TDM

Data sources: Crossref

https://dx.doi.org/10.48550/ar...

Article . 2025

License: CC BY

Data sources: Datacite

Indefinite structure of the Bergman kernel on the open unit disk

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Apr 2026Embargo end date: 01 Jan 2025 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 556, page 130,265 (issn: 0022-247X,

Copyright policy )

Authors: Kojin, Kenta; Kuwahara, Shuhei; Seto, Michio;

doi: 10.1016/j.jmaa.2025.130265 , 10.48550/arxiv.2508.17698

arXiv: 2508.17698

Indefinite structure of the Bergman kernel on the open unit disk

- Summary
- Subjects
- Metrics

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.

Keywords

Complex Variables, FOS: Mathematics, Complex Variables (math.CV), Functional Analysis, Functional Analysis (math.FA)

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

0

Average

Green