In this paper a numerical algorithm is proposed for the computation of the Fourier Transform. The quadrature rule developed is based on the Whittaker Cardinal ...
It is shown that there do not exist integration rules of the form $\int^\infty_0 f(x) dx = \sum_{i=1}^n w_if(x_i) + C_nf^{(m)}(\xi),\quad 0 < \xi < \infty$. Journal ...