Geometric States
Functional Analysis
2024-02-20 v1 Mathematical Physics
math.MP
Abstract
We introduce a special family of distributional alpha-densities and give a transversality criterion stating when their product is defined, closely related to Hormander's criterion for general distributions. Moreover, we show that for the subspace of distributional half-densities in this family the distribution product naturally yields a pairing that extends the usual one on smooth half-densities.
Cite
@article{arxiv.2402.11854,
title = {Geometric States},
author = {Benoit Dherin and Alan Weinstein},
journal= {arXiv preprint arXiv:2402.11854},
year = {2024}
}
Comments
7 pages