Bernard J. Harris, Jeffrey C. Kallenbach
Abstract:
We consider the spectral function,
,
associated with the linear second-order question
and the initial condition
in the case where
as
.
We obtain a representation of
as a convergent
series for
where
is computable,
and a bound for the points of spectral concentration.
Submitted August 27, 2009. Published September 14, 2010.
Math Subject Classifications: 34L05, 34L20.
Key Words: Spectral theory; Schrodinger equation.
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Bernard J. Harris Department of Mathematical Sciences Northern Illinois University DeKalb, IL 60115, USA email: harris@math.niu.edu |
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Jeffrey C. Kallenbach Department of Mathematical Sciences Siena Heights University Adrian, MI 49221, USA email: jkallenb@siennaheights.edu |
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