A Sturmian separation theorem for symplectic difference systems
| Authors | |
|---|---|
| Year of publication | 2007 |
| Type | Article in Periodical |
| Magazine / Source | J. Math. Anal. Appl. |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Symplectic difference system; discrete quadratic functional; focal point; conjoined basis; separation theorem |
| Description | We establish a Sturmian separation theorem for conjoined bases of 2n-dimensional symplectic difference systems. In particular, we show that the existence of a conjoined basis without focal points in a discrete interval (0,N+1] implies that any other conjoined basis has at most n focal points (counting multiplicities) in this interval. |
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