On the transformation formula of the slice Bergman kernels in the quaternion variables

Jong Do Park

doi:10.4134/BKMS.b150720

On the transformation formula of the slice Bergman kernels in the quaternion variables

Jong Do Park

Research output: Contribution to journal › Article › peer-review

Abstract

In complex analysis, the Bergman kernels for two biholomorphically equivalent complex domains satisfy the transformation formula. Recently new Bergman theory of slice regular functions of the quaternion variables has been investigated. In this paper we construct the transformation formula of the slice Bergman kernels under slice biregular functions in the setting of the quaternion variables.

Original language	English
Pages (from-to)	1401-1409
Number of pages	9
Journal	Bulletin of the Korean Mathematical Society
Volume	53
Issue number	5
DOIs	https://doi.org/10.4134/BKMS.b150720
Publication status	Published - 2016

Bibliographical note

Publisher Copyright:
© 2016 Korean Mathematical Society.

Keywords

Bergman kernel
Quaternion variables
Slice Bergman kernel
Slice regular functions
Transformation formula

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10.4134/BKMS.b150720

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abstract = "In complex analysis, the Bergman kernels for two biholomorphically equivalent complex domains satisfy the transformation formula. Recently new Bergman theory of slice regular functions of the quaternion variables has been investigated. In this paper we construct the transformation formula of the slice Bergman kernels under slice biregular functions in the setting of the quaternion variables.",

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AB - In complex analysis, the Bergman kernels for two biholomorphically equivalent complex domains satisfy the transformation formula. Recently new Bergman theory of slice regular functions of the quaternion variables has been investigated. In this paper we construct the transformation formula of the slice Bergman kernels under slice biregular functions in the setting of the quaternion variables.

KW - Bergman kernel

KW - Quaternion variables

KW - Slice Bergman kernel

KW - Slice regular functions

KW - Transformation formula

UR - https://www.scopus.com/pages/publications/84993982635

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DO - 10.4134/BKMS.b150720

M3 - Article

AN - SCOPUS:84993982635

SN - 1015-8634

VL - 53

SP - 1401

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JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 5

ER -

On the transformation formula of the slice Bergman kernels in the quaternion variables

Abstract

Bibliographical note

Keywords

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