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Complex Symplectic Geometry with Applications to Ordinary Differential Operators

W. N. Everitt and L. Markus
Transactions of the American Mathematical Society
Vol. 351, No. 12 (Dec., 1999), pp. 4905-4945
Stable URL: http://www.jstor.org/stable/117982
Page Count: 41
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Complex Symplectic Geometry with Applications to Ordinary Differential Operators
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Abstract

Complex symplectic spaces, and their Lagrangian subspaces, are defined in accord with motivations from Lagrangian classical dynamics and from linear ordinary differential operators; and then their basic algebraic properties are established. After these purely algebraic developments, an Appendix presents a related new result on the theory of self-adjoint operators in Hilbert spaces, and this provides an important application of the principal theorems.

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