Complex symplectic geometry with applications to vector differential operators

Authors

CHUAN FU YANG

DOI

10.3906/mat-1103-25

Abstract

Let l(y) be a formally self-adjoint vector-valued differential expression of order n on an interval (a, \infty)(-\infty \leq a < \infty) with complex matrix-valued function coefficients and finite equal deficiency indices. In this paper, applying complex symplectic algebra, we give a reformulation for self-adjoint domains of the minimal operator associated with l(y) and classify them.

Keywords

Symplectic algebra, Lagrangian subspace, vector-valued differential operator, self-adjoint domains

First Page

617

Last Page

632

Recommended Citation

YANG, CHUAN FU (2013) "Complex symplectic geometry with applications to vector differential operators," Turkish Journal of Mathematics: Vol. 37: No. 4, Article 9. https://doi.org/10.3906/mat-1103-25
Available at: https://journals.tubitak.gov.tr/math/vol37/iss4/9