Micro-local analysis in some spaces of ultradistributions
Functional Analysis
2011-09-27 v1
Abstract
In this paper we extend some results from our earlier papers on wave-front sets, concerning wave-front sets of Fourier-Lebesgue and modulation space types, to a broader class of spaces of ultradistributions, and relate these wave-front sets with the usual wave-front sets of ultradistributions. Furthermore, we use Gabor frames for the description of discrete wave-front sets, and prove that these wave-front sets coincide with corresponding continuous ones.
Keywords
Cite
@article{arxiv.1109.5250,
title = {Micro-local analysis in some spaces of ultradistributions},
author = {Karoline Johansson and Stevan Pilipovic and Nenad Teofanov and Joachim Toft},
journal= {arXiv preprint arXiv:1109.5250},
year = {2011}
}
Comments
28 pages