Agmon-Type Exponential Decay Estimates for Pseudodifferential Operators
Vol. 5 (1998), No. 4, Page 693--712.
Nakamura, Shu
Agmon-Type Exponential Decay Estimates for Pseudodifferential Operators
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Abstract:
We study generalizations of Agmon-type estimates on eigenfunctions for Schrödinger 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.
Mathematics Subject Classification (1991): Primary 35P20; Secondary 35B40, 35S99, 81Q20, 81S30
Mathematical Reviews Number: MR1675240
Received: 1998-03-20
