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Transformations for complex discrete linear Hamiltonian and symplectic systems

Published online by Cambridge University Press:  17 April 2009

Yi Wang ,
Yuming Shi  and
Guojing Ren
Yi Wang
Affiliation:
School of Statistics and Mathematics, Shandong Economic University, Jinan, Shandong 250014, Peoples Republic of China, e-mail: [email protected]
Yuming Shi
Affiliation:
School of Statistics and Mathematics, Shandong Economic University, Jinan, Shandong 250014, Peoples Republic of China, e-mail: [email protected]
Guojing Ren
Affiliation:
School of Mathematics and Systems Science, Shandong University, Jinan, Shandong 250100, Peoples Republic of China, e-mail: [email protected], [email protected]
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This paper is concerned with transformations for complex discrete linear Hamiltonian systems and complex discrete linear symplectic systems. A general complex discrete trigonometric system is studied and a criterion for it is established. Based on these results, the Prüfer and trigonometric transformations for complex discrete linear Hamiltonian systems and complex discrete linear symplectic systems are formulated. The relative existing results in real cases are extended.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 75 , Issue 2 , April 2007 , pp. 179 - 191
Copyright
Copyright © Australian Mathematical Society 2007

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