Regions free of resonance poles for Schr"{o}dinger operators with non-smooth potentials

Stephen W. Taylor


An elementary method for finding the region free of resonance poles is
presented. The method involves estimating time derivatives of solutions to
Schr"{o}dinger's Equation. These estimates have certain implications
regarding the region of analyticity of the reduced resolvent operator. The
method also yields some generalizations to results already known about the
location of resonance poles.


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9 pages

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