Classical Fourier analysis via mild distributions

  • Hans G. Feichtinger


{It} is the purpose of this article to point out that the setting of mild distributions, which is based on the use of the special Segal algebra $\SORd$, also provides useful insight for various questions of classical Fourier analysis.

The concrete topics to be treated are: Summability of Fourier transforms; Generalized Fourier transform, spectrum; Representation of multipliers;