On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems

By Stephen Clark, Fritz Gesztesy. 2003

53 citations recorded by the source corpus.

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.

Subfields: Computational Theory and Mathematics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3fd9bbf805f2a97e4467bf56cdeef1ee5d9aea8c

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In Computational Theory and Mathematics

1. David Damanik
2. Alexander Pushnitski
3. Barry Simon
4. Yuming Shi
5. Doron S. Lubinsky
6. Vilmos Totik

In Mathematical Physics

1. David Damanik
2. Alexander Pushnitski
3. Barry Simon
4. Yuming Shi
5. Doron S. Lubinsky
6. David Damanik
7. Vilmos Totik

In Statistical and Nonlinear Physics

1. Alexander Pushnitski
2. David Damanik
3. Barry Simon
4. Yuming Shi
5. David Damanik

Citations in the corpus

• Weyl–Titchmarsh theory for a class of discrete linear Hamiltonian systems (2006, background): “Some results in the present paper can be derived from the relative results in [18] by using the transformation (1.”
• The Analytic Theory of Matrix Orthogonal Polynomials (2007, background): “Furthermore, there is closely related work on Schrödinger (and other) operators with matrix-valued potentials; see, for example, [8, 24, 25, 26, 27, 28, 30, 96, 97, 165].”