Two-term trace estimates for relativistic stable processes

TL;DR

This paper extends trace estimates to relativistic stable processes, generalizing previous results for stable processes, and provides new bounds relevant for understanding their spectral properties.

Contribution

It introduces trace estimates for relativistic stable processes, expanding the theoretical framework beyond classical stable processes.

Findings

Extended trace estimates to relativistic stable processes

Generalized previous stable process results

Provided bounds for spectral analysis

Abstract

We prove trace estimates for the relativistic $\alpha$-stable process extending the result of Ba\~{n}uelos and Kulczycki (2008) in the stable case.