Symmetric Three-Term Recurrence Equations and Their Symplectic Structure
Symmetric Three-Term Recurrence Equations and Their Symplectic Structure
We revive the study of the symmetric three-term recurrence equations. Our main result shows that these equations have a natural symplectic structure, that is, every symmetric three-term recurrence equation is a special discrete symplectic system. The assumptions on the coefficients in this paper are weaker and more natural than those …