| THE HAMILTONIAN SYSTEM AND COMPLETENESS OF SYMPLECTIC ORTHOGONAL SYSTEM |
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| 作者姓名： | 张鸿庆 阿拉坦仓 钟万勰 |
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| 摘 要： | I.IntroductionThemethodofseparationofvariablesisimportanttosolvethesoluti0n0fprobIem0fmathematicalphysics,butmanyproblen1sofmathematicalphysicscannotseparatet'ariab1es,thereforeitrestrictstheranget0appIicatemethodofseparationofvariable.Inthepaperlll,Zhong…
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| 收稿时间： | 6 September 1995 |
The Hamiltonian system and completeness of symplectic orthogonal system |
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| Zhang Hongqing,Alatancang.THE HAMILTONIAN SYSTEM AND COMPLETENESS OF SYMPLECTIC ORTHOGONAL SYSTEM[J].Applied Mathematics and Mechanics(English Edition),1997,18(3):237-242. |
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| Authors: | Zhang Hongqing Alatancang |
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| Institution: | Dalian Univ. of Tech. Dalian 116023.P.R.China |
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| Abstract: | In this paper, a new Banach space ZH is defined, and it is proved that there is completeness of eigenfunction systems (symplectic
orthogonal system) of a class of Hamiltonian system in ZH space. We have also proved the following results: ZH space can be
continuously imbedded toL
2
0, 1]×L
2
0, 1], butZH ≠ L
2
0,1] × L
1
0, 1].
Project supported by the National Natural Science Foundation of China |
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| Keywords: | Hamiltonian system completeness symplectic orthogonal system |
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