On uniqueness properties of solutions of the Toda and Kac-van Moerbeke hierarchies

Abstract

We prove that a solution of the Toda lattice cannot decay too fast at two different times unless it is trivial. In fact, we establish this result for the entire Toda and Kac-van Moerbeke hierarchies.

6 pages

References in corpus (2)

• On the Equivalence of Different Lax Pairs for the Kac-van Moerbeke Hierarchy
• A Dynamic Uncertainty Principle for Jacobi Operators