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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

Ikrom I. JalolovTashkent State Transport University, 100167, Tashkent, Republic of UzbekistanO. I. JalolovBukhara State University, 200118, Bukhara, Republic of Uzbekistan
Russian Mathematicsjournal2024en
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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.

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