Multidimensional Fourier interpolation and fast Fourier transforms (Q6634034)

The authors of this short note derive an explicit representation for the interpolation polynomial of a multivariate function under the assumption that the node points form a parallelepipedal grid. In particular, they establish a connection between the associated coefficients and the Fourier coefficients of a one-dimensional interpolation polynomial for a function closely related to the original multivariate function.