Completeness in the sense of Cauchy principal value of the eigenfunction systems of infinite dimensional Hamiltonian operator

被引：0
作者：
DeYu Alatancang
机构：
[1] Inner Mongolia University,Department of Mathematics
来源：
Science in China Series A: Mathematics | 2009年 / 52卷
关键词：
infinite dimensional Hamiltonian operator ; -compact operator; eigenvalue; eigenfunction system; Cauchy principal value; completeness; 47A75;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The properties of eigenvalues and eigenfunctions of the infinite dimensional Hamiltonian operators are studied, and the sufficient conditions of the completeness in the sense of Cauchy principal value of the eigenfunction systems of the infinite dimensional Hamiltonian operators are given. In the end, concrete examples are constructed to justify the effectiveness of the criterion.
引用
收藏
页码：173 / 180
页数：7
相关论文
共 24 条
  • [1] Zhong W. X.(1991)Method of separation of variables and Hamiltonian system (in Chinese) Comput Strutural Mech Appl 8 229-240
  • [2] Zhong W. X.(1991)Plane elasticity problem in strip domain and the Hamiltonian system (in Chinese) Journal of Dalian University of Technology 31 373-384
  • [3] Alatancang J. J.(2008)Structure of the spectrum of infinite dimensional Hamiltonian operators Sci China Ser A-Math 51 915-924
  • [4] Huang X. Y.(2000)Variable separation method based on Hamiltonian system (in Chinese) Journal of Hehai University 28 27-31
  • [5] Fan J. F.(1995)Completeness of symplectic orthogonal system (in Chinese) Journal of Dalian University of Technology 35 754-758
  • [6] Zhou J. S.(1997)The Hamiltonian system and Completeness of symplectic orthogonal system (in Chinese) Appl Math Mech 18 217-221
  • [7] Zhuo D. Q.(2000)Pseudocdivision algorithm for matrix multivariable polynomial and its application (in Chinese) Applied Mathematica and Mechanics 21 661-668
  • [8] Li H. Q.(2004)Completeness of eigen-solutions of elliptic PDE of Hamilton type (in Chinese) Journal of Dalian University of Technology 44 1-6
  • [9] Zhang W. X.(1999)The canonical Hamiltonian representations in a class of partial differential equation (in Chinese) Acta Mech Sinica 31 347-357
  • [10] Alatancang H. Q.(2005)The residual spectrum for a class of infinite dimensional Hamiltonian operators in Acta Math Scientia 25 1040-1045
123