 9948 Alexander Pushnitski
 Estimates for the spectral shift function of the polyharmonic operator
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Feb 12, 99

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Abstract. The LifshitsKrein spectral shift function is considered for
the pair of operators $H_0=(\bigtriangleup)^l$, $l>0$ and $H=H_0+V$ in $L_2(\R^d)$,
$d\geq1$; here $V$ is a multiplication operator.
The estimates for this spectral shift function $\xi(\lambda;H,H_0)$
are obtained in terms of the spectral parameter $\lambda>0$ and
the integral norms of $V$. These estimates are in a good agreement with
the ones predicted by the classical phase space volume considerations.
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