Agmon-Type Exponential Decay Estimates for Pseudodifferential Operators

摘要

We study generalizations of Agmon-type estimates on eigenfunctions for Schrodinger operators. In the first part, we prove an exponential decay estimate on eigenfunctions for a class of pseudodifferential operators. In the second part, we study the semiclassical limit of h-pseudodifferential operators, and exponential decay estimates on eigenfunctions and Briet-Combes-Duclos-type resolvent estimates are proved.