On one algorithm for constructing the Fourier transform of the function ${{\overline{V }}_{m}}\left( x \right)$ to determine a discrete analog of one differential operator

This paper considers the problem of constructing the Fourier transform of a harrow-shaped function to determine a discrete analog of the differential operator, which is used in constructing optimal quadrature formulas in L. Hörmander space. In addition, the problem of constructing a discrete analog of a specific operator in a particular case is considered.