A Normal Form Around a Lagrangian Submanifold of Radial Points

Abstract

In this work, we produce microlocal normal forms for pseudodifferential operators which have a Lagrangian submanifold of radial points. This answers natural questions about such operators and their associated classical dynamics. In a sequel, we will give a microlocal parametrix construction, as well as a construction of a microlocal Poisson operator, for such pseudodifferential operators.

Locations

• International Mathematics Research Notices - View
• arXiv (Cornell University) - View - PDF