Ricardo Weder and Dimitri Yafaev
On Inverse Scattering at a Fixed Energy for Potentials with a Regular Behaviour at Infinity
(60K, Latex)
ABSTRACT. We study the inverse scattering problem for electric potentials
and magnetic fields in $\ere^d, d\geq 3$, that are asymptotic
sums of homogeneous terms at infinity. The main result is that
all these terms can be uniquely reconstructed from the singularities
in the forward direction of the scattering amplitude at some positive energy.