%0 Journal Article
%T A smooth introduction to the wavefront set
%A Christian Brouder
%A Nguyen Viet Dang
%A Fr¨¦d¨¦ric H¨¦lein
%J Physics
%D 2014
%I arXiv
%R 10.1088/1751-8113/47/44/443001
%X The wavefront set provides a precise description of the singularities of a distribution. Because of its ability to control the product of distributions, the wavefront set was a key element of recent progress in renormalized quantum field theory in curved spacetime, quantum gravity, the discussion of time machines or quantum energy inequalitites. However, the wavefront set is a somewhat subtle concept whose standard definition is not easy to grasp. This paper is a step by step introduction to the wavefront set, with examples and motivation. Many different definitions and new interpretations of the wavefront set are presented. Some of them involve a Radon transform.
%U http://arxiv.org/abs/1404.1778v1