Certain Linear Combinations of Exponential Functions are Positive under Semidefinite Linear Constraints
Group Theory
2021-12-06 v1 Mathematical Physics
math.MP
Representation Theory
Abstract
In this article, I introduce a group-theoretical method to prove positivity of certain linear combinations (with coefficients generally lying in ) of exponential functions under a set of semidefinite linear constraints. The basic group-theoretic fact we rely on is the positivity of the fusion coefficients for multiplication of group characters.
Cite
@article{arxiv.2112.00134,
title = {Certain Linear Combinations of Exponential Functions are Positive under Semidefinite Linear Constraints},
author = {Robert Lin},
journal= {arXiv preprint arXiv:2112.00134},
year = {2021}
}