Abstract
We solve the momentum space path integral for the D-dimensional harmonic oscillator in the context of some deformed commutation relations [(X) over cap (i), (P) over cap (j)] = ih delta(ij) (1 + (beta) over capP(2)) leading to isotropic nonzero minimal uncertainty in position coordinates. The exact energy spectrum and the corresponding normalized radial momentum space eigenfunctions are obtained from the spectral decomposition of the radial transition amplitude.