# Conormal distributions in the Shubin calculus of pseudodifferential operators

## TL;DR

This paper introduces Shubin conormal distributions, characterizes pseudodifferential operators of Shubin type using FBI transforms, and explores their microlocal properties and transformation behavior.

## Contribution

It presents the first definition and analysis of Shubin conormal distributions, extending the microlocal theory in the context of Shubin pseudodifferential calculus.

## Key findings

- Characterization of Schwartz kernels via FBI transform
- Introduction of Shubin conormal distributions
- Analysis of their microlocal properties

## 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.