The Fourier-Bohr series of a pseudo almost periodic measure

We deline the Fourier Bohr coefficients of pseudo almost periodic measure and we establish some of their properties. We also define the Fourier-Bohr series of a pseudo almost periodic measure and we write the corresponding series for the convolution of a bounded measure and a pseudo almost periodic measure. Finally, we study two convergent Fourier-Bohr series, and we establish a property of their sums.