Selfadjoint Jacobi matrices on graphs and multiple orthogonal polynomials
Selfadjoint operators on the graph-trees are constructed by means of the difference equations connecting nearest neighbors in the lattice of multiple orthogonal polynomials. This construction generalizes the Jacobi matrices of the recurrence relations for orthogonal polynomials.
difference operator on graphs, multiple orthogonal polynomials, discrete integrable systems, scattering problem
Mathematical problems and theory of numerical methods