# Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach

## TL;DR

This paper develops a Lagrangian approach and introduces a pseudodifferential algebra to analyze resolvent estimates near zero energy on asymptotically conic Riemannian scattering spaces, addressing degeneracies robustly.

## Contribution

It presents a novel Lagrangian regularity framework combined with a resolved pseudodifferential algebra for zero energy analysis on asymptotically conic spaces.

## Key findings

- Effective resolvent estimates near zero energy
- Robust handling of zero energy degeneracies
- Extension of analysis to generalized scattering spaces

## Abstract

We use a Lagrangian regularity perspective to discuss resolvent estimates near zero energy on Riemannian scattering, i.e. asymptotically conic, spaces, and their generalizations. In addition to the Lagrangian perspective we introduce and use a resolved pseudodifferential algebra to deal with zero energy degeneracies in a robust manner.