Wave fronts via Fourier series coefficients

Abstract

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 $f\in {\mathcal{D}}^{\prime }({\mathbb{R}}^d)$ in terms of Fourier series coefficients.

10 pages

Cited by in corpus (1)

• Discrete characterizations of wave front sets of Fourier-Lebesgue and quasianalytic type