Conormal distributions in the Shubin calculus of pseudodifferential operators
Mathematical Physics
2018-03-14 v1 Analysis of PDEs
math.MP
Abstract
We characterize the Schwartz kernels of pseudodifferential operators of Shubin type by means of an FBI transform. Based on this we introduce as a generalization a new class of tempered distributions called Shubin conormal distributions. We study their transformation behavior, normal forms and microlocal properties.
Keywords
Cite
@article{arxiv.1702.03111,
title = {Conormal distributions in the Shubin calculus of pseudodifferential operators},
author = {Marco Cappiello and René Schulz and Patrik Wahlberg},
journal= {arXiv preprint arXiv:1702.03111},
year = {2018}
}
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23 pages