Wave fronts via Fourier series coefficients
  Motivated by the product of periodic distributions, we give a new description of the wave front and the Sobolev-type wave front of a distribution $f\in\mathscr{D}'(\mathbb{R}^d)$ in terms of Fourier series coefficients. 
Snjezana Maksimovic, Stevan Pilipovic, Petar Sokoloski and Jasson   Vindas
math.AP math.FA