Fourier series for zeta function via Sinc

In this paper we derive some Fourier series and Fourier polynomial approximations to a function F which has the same zeros as the zeta function, ζ(z) on the strip {z∈C:0<Rz<1}. These approximations depend on an arbritrary positive parameter h, and which for arbitrary ε∈(0,1/2), converge uniformly to ζ(z) on the rectangle {z∈C:ε<Rz<1-ε,-π/h<Iz<π/h}.