- 94-77 Gesztesy F., Holden H., Simon B., Zhao Z.
- Higher Order Trace Relations for Schrodinger Operators
Mar 30, 94
(auto. generated ps),
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Abstract. We extend the trace formula recently proven for general
one-dimensional Schr\"odinger operators which obtains the potential
$V(x)$ from a function $\xi(x, \lambda)$ by deriving trace relations
computing moments of $\xi(x, \lambda)\,d\lambda$ in terms of
polynomials in the derivatives of $V$ at $x$. We describe the
relation of those polynomials to KdV invariants. We also discuss
trace formulae for analogs of $\xi$ associated with boundary conditions
other than the Dirichlet boundary condition underlying $\xi$.