On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems
Abstract
We develop the basic theory of matrix-valued Weyl-Titchmarsh M-functions and the associated Green's matrices for whole-line and half-line self-adjoint Hamiltonian finite difference systems with separated boundary conditions.
- Publication:
-
Journal of Computational and Applied Mathematics
- Pub Date:
- October 2004
- DOI:
- arXiv:
- arXiv:math/0312177
- Bibcode:
- 2004JCoAM.171..151C
- Keywords:
-
- Discrete canonical systems;
- Difference operators;
- Weyl-Titchmarsh theory;
- Green's functions;
- Mathematics - Spectral Theory;
- 34B20;
- 39A10;
- 34B27;
- 39A70
- E-Print:
- 30 pages, to appear in J. Comput. Appl. Math