## Agmon-Type Exponential Decay Estimates for Pseudodifferential Operators

J. Math. Sci. Univ. Tokyo
Vol. 5 (1998), No. 4, Page 693--712.

Nakamura, Shu
Agmon-Type Exponential Decay Estimates for Pseudodifferential Operators
We study generalizations of Agmon-type estimates on eigenfunctions for SchrÃ¶dinger 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.