Conormal distributions in the Shubin calculus of pseudodifferential operators
arXiv:1702.03111 · doi:10.1063/1.5022778
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.
23 pages