The equality of the homogeneous and the Gabor wave front set
Analysis of PDEs
2016-07-26 v3 Functional Analysis
Abstract
We prove that H\"ormander'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.
Keywords
Cite
@article{arxiv.1304.7608,
title = {The equality of the homogeneous and the Gabor wave front set},
author = {René Schulz and Patrik Wahlberg},
journal= {arXiv preprint arXiv:1304.7608},
year = {2016}
}
Comments
26 pages, 1 figure