Asymptotic distributions associated to piecewise quasi-polynomials

TL;DR

This paper investigates the asymptotic distributions linked to piecewise quasi-polynomials, providing foundational results that support further research in equivariant index theory and semi-classical analysis.

Contribution

It introduces new asymptotic distribution results for piecewise quasi-polynomials, advancing mathematical understanding in this area.

Findings

Derived asymptotic distribution formulas for piecewise quasi-polynomials

Established connections to equivariant index theory

Provided tools for semi-classical limit analysis

Abstract

In this paper we study asymptotic distributions associated to piecewise quasi-polynomials. The main result obtained here is used in another paper of the authors "The equivariant index of twisted Dirac operators and semi-classical limits".