Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces

TL;DR

This paper establishes resolvent estimates near zero energy for Riemannian scattering (asymptotically conic) spaces using a microlocal Fredholm analysis framework, advancing understanding of spectral properties in geometric analysis.

Contribution

It introduces a uniform microlocal Fredholm analysis approach to obtain resolvent estimates near zero energy on asymptotically conic spaces, generalizing previous results.

Findings

Resolved resolvent estimates near zero energy for asymptotically conic spaces.

Developed a microlocal Fredholm analysis framework applicable to these spaces.

Enhanced spectral analysis techniques for geometric scattering problems.

Abstract

We give resolvent estimates near zero energy on Riemannian scattering, i.e. asymptotically conic, spaces, and their generalizations, using a uniform microlocal Fredholm analysis framework.