The inverse Abel transform for an exceptional bounded symmetric domain

The inverse Abel transform for an exceptional bounded symmetric domain

导出

摘要 By using the first shift operator of the bc2-root system,the elementary spherical functions on the exceptional bounded symmetric domain E6/spin(10)×T are obtained,and the inverse Abel transform for this space is derived.Finally an expression of the heat kernel of this domain is given. By using the first shift operator of the bc2-root system,the elementary spherical functions on the exceptional bounded symmetric domain E6/spin(10)×T are obtained,and the inverse Abel transform for this space is derived.Finally an expression of the heat kernel of this domain is given.

作者朱赋鎏

机构地区 Department of Mathematics

出处《Science China Mathematics》 SCIE 1997年第7期687-696,共10页 中国科学：数学（英文版）

基金 Project partially supported by the National Natural Science Foundation of China.

关键词 exceptional BOUNDED SYMMETRIC domain SHIFT operator INVERSE ABEL transform heat kernel. exceptional bounded symmetric domain,shift operator,inverse Abel transform,heat kernel.

分类号 O177 [理学—基础数学]

引文网络
相关文献

1ZHAO Zhen Gang.Characterization of the Bounded Symmetric Domain[J].Journal of Mathematical Research and Exposition,2009,29(3):434-440.
2Shu Lisheng (Department of Mathematics,Anhui Normal University,Wuhu 241000,China)Zheng Weixing (Department of Mathematics,Nanjing University,Nanjing 210093,China).About Spherical Functions on SL(2,R)[J].Acta Mathematica Sinica,English Series,1997,13(2):199-206. 被引量：2
3LIYun JINGSi-Cong.Realization of the N（odd）-Dimensional Quantum Euclidean Space by Differential Operators[J].Communications in Theoretical Physics,2004,41(2):175-178.
4Yuanlong Xin, Institute of Mathematics and LMNS, Fudan University, Shanghai 200433, P. R. ChinaE-mail: ylxin@fudan, edu. cn.Harmonic Maps from Kahler Manifolds[J].Acta Mathematica Sinica,English Series,1999,15(2):277-292.
5卢克平.The HeatKernel ofthe Sym m etric Space P_n[J].Chinese Quarterly Journal of Mathematics,1998,13(4):64-69.
6朱赋鎏.ON THE HEAT KERNEL OF THE RIEMANNIAN SYMMETRIC SPACE SU(6)/SP(3)[J].Acta Mathematica Scientia,1995,15(3):310-325. 被引量：2
7徐祥.The Number of Irreducible Subsystems in the Classical Irreducible Root Systems[J].Northeastern Mathematical Journal,2000,16(3):287-290.
8赵振刚,殷慰萍.Characterization of Bounded Symmetric Domain by Carathèodory and Eisenmann-Kobayashi Volume Elements[J].数学进展,2002,31(1):83-86.
9Ming Xu.THE DUALITY BETWEEN MORREY SPACES AND ITS PRE-DUAL SPACES CHARACTERIZED BY HEAT KERNEL[J].Analysis in Theory and Applications,2009,25(1):71-78.
10李贵斌.ESTIMATION OF PARAMETERS IN ARUMA MODELS[J].Acta Mathematicae Applicatae Sinica,1990,6(2):173-192.

Science China Mathematics

1997年第7期

浏览历史

内容加载中请稍等...

The inverse Abel transform for an exceptional bounded symmetric domain

相关作者

相关机构

相关主题

浏览历史