Gesztesy F., Simon B.
On the Determination of a Potential from Three Spectra
(26K, AMSTeX)

ABSTRACT.  We prove that under suitable circumstances, the spectra 
of a Schr\"odinger operator on the three intervals $[0,1]$, 
$[0,a]$, and $[a,1]$ for some $a\in (0,1)$ uniquely determine the 
potential $q$ on $[0,1]$.