The Fourier Transform of some distributions from D'(R) and D'(R2) with applications in mechanics

In this paper, the Fourier images of some function type distributions from D'(R) and D'(R(2)) are obtained. These distributions are useful at the study of the vibrations of the elastic rods and of the thin plane plates, as well as in acoustics. The Dirac sequences of one and two variables are deduced on the basis of the obtained formulas.