  Explicit representations for the Faddeev components of the three-body
T-matrix continued analytically into unphysical sheets of the energy Riemann
surface are formulated. According to the representations, the T-matrix in
unphysical sheets is explicitly expressed in terms of its components taken in
the physical sheet only. The representations for the T-matrix are then used to
construct similar representations for the analytic continuation of the
three-body scattering matrices and the resolvent. Domains on unphysical sheets
are described where the representations obtained can be applied. A method for
finding three-body resonances based on the Faddeev differential equations is
proposed.
