- 98-415 Pushnitski, A. B.
- Integral estimates for the spectral shift function
(80K, LATeX 2e)
Jun 6, 98
(auto. generated ps),
of related papers
Abstract. The spectral shift function $\xi(\lambda)$ is considered
for the pair of operators $H_0$, $H_0+V$, where $H_0$ is
the Schr\"odinger operator with a variable Riemannian metric
and an electro-magnetic field, and $V$ is the operator of
multiplication by the potential $V(x)$.
For integrals of the type $\int\xi(\lambda)f(\lambda)d\lambda$,
where $f(\lambda)$ is a weight, the estimates in terms of the integral
characteristics of the potential $V$ are obtained.
These estimates are of an asymptotically ``correct'' order in $\lambda$
and $V$; they will be used in a subsequent paper in the problem
of asymptotics of $\xi(\lambda)$ in the large coupling constant