On the positivity of Green's functions for a class of pseudo-differential operators on closed Riemannian, manifolds

TL;DR

This paper discusses the positivity of Green's functions for certain pseudo-differential operators on closed Riemannian manifolds, but it has been withdrawn due to redundancy with a newer publication.

Contribution

The paper initially aimed to establish conditions for the positivity of Green's functions in a specific geometric setting, but it is now obsolete.

Findings

Green's functions positivity conditions analyzed

Results are superseded by newer work

Methodological framework for pseudo-differential operators

Abstract

This paper is being withdrawn because another paper by the author makes it obsolete. See comments for directions to new paper.