The equality of the homogeneous and the Gabor wave front set
arXiv:1304.7608
Abstract
We prove that Hörmander's global wave front set and Nakamura's homogeneous wave front set of a tempered distribution coincide. In addition we construct a tempered distribution with a given wave front set, and we develop a pseudodifferential calculus adapted to Nakamura's homogeneous wave front set.
arXiv comment26 pages, 1 figure