Equal-time temperature correlators of the one-dimensional Heisenberg XY chain

Representations as determinants of $M\times M$ dimensional matrices are obtained for equal-time temperature correlators of the anisotropic Heisenberg XY chain. These representations are simple deformations of the answers for the isotropic XXO chain. In the thermodynamical limit, the correlators are expressed in terms of the Fredholm determinants of linear integral operators.