  The solution of a problem arising in integrable systems requires sharp
asymptotics for the inverses and determinants of truncated Wiener-Hopf
operators, both in the regular case (where the non-truncated Wiener-Hopf
operator is invertible) and in singular cases. This paper treats the singular
cases where the symbol of the Wiener-Hopf operator has one double zero or two
simple zeros. We find formulas for the inverses that hold uniformly throughout
the underlying interval with very small error, and formulas for the
determinants with very small error.
