- Turkish Journal of Mathematics
- Vol: 37 Issue: 4
- Complex symplectic geometry with applications to vector differential operators
Complex symplectic geometry with applications to vector differential operators
Authors : Chuan-fu Yang
Pages : 617-632
Doi:10.3906/mat-1103-25
View : 9 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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