Sinc integrals revisited

Abstract The purpose of this paper is the evaluation Fourier transform powers sinc function multiplied by monomials, also in cases when log terms arise. Such evaluations appear only rarely literature. Some old sources are hardly available. Because notations not use today, several original works difficult to read. We apply an approach J. H. Michell a variant G. Hardy integrals over and their transforms. Moreover, connection such with B‑splines accentuated.