四元数体Q上的双曲矩阵空间中的若干积分

数学物理学报 ›› 2018, Vol. 38 ›› Issue (3): 417-432.

• 论文 • 下一篇

四元数体Q上的双曲矩阵空间中的若干积分

舒富文¹, 沈有根²

1 南昌大学物理系南昌 330031;
2 中国科学院上海天文台上海 200030

收稿日期:2016-01-28 修回日期:2017-09-29 出版日期:2018-06-26 发布日期:2018-06-26
通讯作者: 沈有根 E-mail:ygshen@shao.ac.cn
作者简介:舒富文,E-mail:shufuwen@ncu.edu.cn
基金资助:
国家自然科学基金（11465012，11373020）、江西省自然科学基金（20142BAB202007）和江西省赣鄱英才555工程

Several Integrals of Quaternionic Field on Hyperbolic Matrix Space

Shu Fuwen¹, Shen Yougen²

1 Department of Physics, Nanchang University, Nanchang 330031;
2 Shanghai Astronomical observatory, Chinese Academy of Sciences, Shanghai 200030

Received:2016-01-28 Revised:2017-09-29 Online:2018-06-26 Published:2018-06-26
Supported by:
Supported by the NSFC (11465012, 11373020), the Natural Science Foundation of Jiangxi Province (20142BAB202007) and the 555 Talent Project of Jiangxi Province

摘要/Abstract

摘要： 该文计算了四元数体上的矩阵空间中的一些典型积分.由这些积分，可以得到相应的四元数体上的双曲矩阵空间的体积，这对于相关核函数的计算是有帮助的.

关键词: 四元数体, 矩阵积分, 双曲矩阵空间

Abstract: Some integrals of matrix spaces over a quaternionic field have been calculated in this work. The associated volume of hyperbolic matrix spaces over a quaternionic field has also been calculated by making use of these integrals, and it is of great significance in calculating related kernel functions of these spaces.

Key words: Quaternionic field, Integral on matrix spaces, Hyperbolic matrix space

中图分类号:

O172

舒富文, 沈有根. 四元数体Q上的双曲矩阵空间中的若干积分[J]. 数学物理学报, 2018, 38(3): 417-432.

Shu Fuwen, Shen Yougen. Several Integrals of Quaternionic Field on Hyperbolic Matrix Space[J]. Acta mathematica scientia,Series A, 2018, 38(3): 417-432.

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四元数体Q上的双曲矩阵空间中的若干积分

Several Integrals of Quaternionic Field on Hyperbolic Matrix Space

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