We construct, according to Glauber's de6nition, the coherent states in a univocally speci6ed 6nite-dimensional Hilbert space. Their analytical form is obtained as an analytical solution of the problem raised by Buzek et al. [Phys. Rev. A 45, 8079 (1992)]. The phase properties of the coherent states are studied within the Pegg-Barnett formalism. PACS number(s): 42.50.Dv Recently, Buzek et al. [1] discussed the analog of Glauber's coherent states in a finite-dimensional Hilbert space. The problem turned out to be difficult. A general analytical form of the finite-dimensional coherent states (FDCS), i.e. , states of a harmonic oscillator in the finitedimensional Hilbert space 'R, spanned by (s+ 1) number

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