On the correctness of finite-rank approximations by series of shifted Gaussians (Q2207054)

The authors consider an interpolation problem connected with series by integer shifts of Gaussians. They prove correctness of the finite-rank linear system approximation by deriving an explicit formula for the main determinant of the linear system. This result is a necessary theoretical background for the development of numerical methods and algorithms and also avoids difficulties with special functions and discreet Fourier transform.