An Algorithm for Constructing the Fourier Transform of the Function $$\mathop V\limits^{ \leftharpoondown \rightharpoondown } {{{\kern 1pt} }_{m}}(x)$$ to Determine a Discrete Analog of a 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 Hörmander space. In addition, the problem of constructing a discrete analog of a specific operator in a particular case is considered.