Inverse moment problem for non-Abelian Coxeter double Bruhat cells
  We solve the inverse problem for non-Abelian Coxeter double Bruhat cells in terms of the matrix Weyl functions. This result can be used to establish complete integrability of the non-Abelian version of nonlinear Coxeter-Toda lattices in $GL_n$. 
Michael Gekhtman
nlin.SI math.FA