Green-type identities for Rockland operators on graded Lie groups

Mustafa Manat; Suragan Durvudkhan

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Green-type identities for Rockland operators on graded Lie groups

机译：Rockland运营商的绿色类型标识为分级谎言群体

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摘要

This paper considers the analogues of Green-type formulae for Rockland operators on graded Lie groups. Furthermore, we also discuss some of their consequences.

机译：本文考虑了Rockland运营商在分级谎言群体上的绿色型公式的类似物。此外，我们还讨论了一些后果。

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来源
《Complex analysis and operator theory》 |2019年第3期|共8页
作者
Mustafa Manat; Suragan Durvudkhan;
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作者单位

Nazarbayev Univ Dept Math Sch Sci &

Technol 53 Kabanbay Batyr Ave Astana 010000 Kazakhstan;

Nazarbayev Univ Dept Math Sch Sci &

Technol 53 Kabanbay Batyr Ave Astana 010000 Kazakhstan;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Rockland operator; Graded Lie group; Green-type identity; Representation formula;

机译：Rockland运营商;分级谎言组;绿色类型的身份;代表公式;

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专利

1. Green-type identities for Rockland operators on graded Lie groups [J] . Mustafa Manat, Suragan Durvudkhan Complex analysis and operator theory . 2019,第3期

机译：Rockland运营商的绿色类型标识为分级谎言群体
2. A comparison principle for nonlinear heat Rockland operators on graded groups [J] . Ruzhansky Michael, Suragan Durvudkhan Bulletin of the London Mathematical Society . 2018,第Pta5期

机译：非线性热Rockland运营商对分级组的比较原理
3. The jacobi identity for relative twisted vertex operators associated with the roots of the lie algebras A_1~((1)) and A_2~((2)), and the generating function identities for level-k standard A_1~((1)) and A_2~((2))-modules [J] . Husu C. Communications in algebra . 2010,第6期

机译：与李代数A_1〜（（（1））和A_2〜（（2））的根相关联的相对扭曲顶点算子的雅各比身份以及k级标准A_1〜（（1））和A_2〜（（（2））-模块
4. Vertex operator representations for a class of BC_V-graded Lie algebras [C] . Fulin Chen, Shaobin Tan International Congress of Chinese Mathematicians . 2012

机译：顶点操作员表示一类BC_V分级的谎言代数
5. Affine Lie algebras, vertex operator algebras and combinatorial identities. [D] . Cook, William J. 2005

机译：仿射李代数，顶点算子代数和组合恒等式。
6. Rota–Baxter operators and post-Lie algebra structures on semisimple Lie algebras [O] . Dietrich Burde, Vsevolod Gubarev -1

机译：半简单李代数上的Rota–Baxter算子和后李代数结构
7. A functional calculus for Rockland operators on nilpotent Lie groups [O] . Andrzej Hulanicki 1984

机译：洛杉矶李氏族群落岩石运营商的功能微积分
8. Spectral Estimates for Positive Rockland Operators [R] . ter Elst, A. F. M., Robinson, D. W. 1994

机译：正Rockland算子的谱估计

Green-type identities for Rockland operators on graded Lie groups

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