**
Below is the ascii version of the abstract for 97-364.
The html version should be ready soon.**Korepin V. E., Slavnov N. A.
The Riemann-Hilbert problem associated with the quantum Nonlinear
Schrodinger equation
(51K, LaTeX)
ABSTRACT. We consider the dynamical correlation functions
of the quantum Nonlinear Schrodinger equation. In a previous paper
we found that the dynamical correlation functions can be described by
the vacuum expectation value of an operator-valued Fredholm
determinant. In this paper we show that a Riemann--Hilbert problem
can be associated with this Fredholm determinant. This
Riemann--Hilbert problem formulation permits us to write down
completely integrable equations for the Fredholm determinant and to
perform an asymptotic analysis for the correlation function.