  Motivated by recent experimental findings, we have developed a theory of the
superconducting state for 2D metals without inversion symmetry modeling the
geometry of a surface superconducting layer in a field-effect-transistor or
near the boundary doped by adsorbed ions. In such systems the two-fold spin
degeneracy is lifted by spin-orbit interaction, and singlet and triplet
pairings are mixed in the wave function of the Cooper pairs. As a result, spin
magnetic susceptibility becomes anisotropic and Knight shift retains finite and
rather high value at T=0.
