Transactions of the American Mathematical Society, Vol. 272, No. 2 (Aug., 1982), pp. 785-802 (18 pages) The technique devised by Wong to derive the asymptotic expansions of multiple Fourier transforms ...
The study of Hilbert transforms and oscillatory integrals has long been a focal point in harmonic analysis, embedding profound implications across pure and applied mathematics. The Hilbert transform, ...
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 ...