  We consider isotropic XY model in the transverse magnetic field on the one
dimensional lattice. Another name of the model in Heisenberg XXO model of spin
1/2.We solved long standing problem of evaluation of temperature correlations.
We first represent correlation function in the model, by means of completely
integrable differential equation. This is famous Ablowitz-Ladik lattice
Nonlinear Schrodinger equation.Correlation function is the $\tau $ function of
this differential equation. We solved this equation and evaluate asymptotics.
