Coherent state quantization and phase operator
  Phase operators are constructed using a Klauder-Berezin coherent state quantization in finite Hilbert subspaces of the Hilbert space of Fourier series. The study of infinite dimensional limits of mean values of some observables phase leads towards a simpler convergence to the canonical commutation relations. 
Pedro L. Garc\'ia de Le\'on and Jean-Pierre Gazeau