Boundedness for Pseudo-Differential Calculus on Nilpotent Lie Groups

TL;DR

This paper surveys results on the boundedness of operators from the Weyl-Pedersen calculus linked to irreducible representations of nilpotent Lie groups, highlighting key theoretical insights.

Contribution

It provides a comprehensive overview of boundedness results for pseudo-differential operators on nilpotent Lie groups, emphasizing the Weyl-Pedersen calculus.

Findings

Summarizes key boundedness theorems for operators on nilpotent Lie groups.

Highlights the role of irreducible representations in operator boundedness.

Provides insights into the structure of pseudo-differential calculus in this context.

Abstract

We survey a few results on the boundedness of operators arising from the Weyl-Pedersen calculus associated with irreducible representations of nilpotent Lie groups.