On the index of pseudo-differential operators on compact Lie groups
Differential Geometry
2018-08-28 v2
Abstract
In this note we study the analytical index of pseudo-differential operators by using the notion of (infinite dimensional) operator-valued symbols (in the sense of Ruzhansky and Turunen). Our main tools will be the McKean-Singer index formula together with the operator-valued functional calculus developed here.
Cite
@article{arxiv.1805.10404,
title = {On the index of pseudo-differential operators on compact Lie groups},
author = {Duván Cardona},
journal= {arXiv preprint arXiv:1805.10404},
year = {2018}
}