Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1103-25
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
