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Publishing Language: Chinese | Open Access

The Bergman kernel function on a certain exceptional Forelli-Rudin construction

An WANG1( ), Xin ZHAO2, Yonghao XI3
School of Mathematical Sciences, Capital Normal University, Beijing 100048
Information Institute, Beijing University of Financial Technology, Beijing 100018
Beijing Miyun No.2 Middle School, Beijing 101500
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Abstract

The Forelli-Rudin construction is a type of semi-Reinhardt domain based on the exceptional Cartan domain of dimension 16. The Bergman kernel function on this domain with infinite series form is given when all its parameters are positive real numbers, and the finite sum form of the Bergman kernel function is gotten for a specific parameter being positive integer.

Keywords

exceptional Cartan domainForelli-Rudin constructionBergman kernel function

References

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Journal of Capital Normal University (Natural Science Edition)
Volume 45 Issue 1,
February 2024
Pages 52-59
DOI: 10.19789/j.1004-9398.2024.01.007

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Cite this article:
WANG A, ZHAO X, XI Y. The Bergman kernel function on a certain exceptional Forelli-Rudin construction. Journal of Capital Normal University (Natural Science Edition), 2024, 45(1): 52-59. https://doi.org/10.19789/j.1004-9398.2024.01.007

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Received: 23 August 2023
Published: 01 February 2024
© The editorial department of Journal of Capital Normal University (Natural Science Edition) 2025.

This is an open access article under the CC BY-NC-ND 4.0 license (https://creativecommons.org/licenses/by-nc-nd/4.0/).