Finite difference calculus in the continuum
Mathematical Physics
2025-10-27 v1 Functional Analysis
math.MP
Abstract
The paper describes known and new results about finite difference calculus on configuration spaces. We describe finite difference geometry on configuration spaces, connect finite difference operators with cannonical commutation relations, find explicit form for certain finite difference Markov generators on configuration spaces, and describe spaces of Newton series defined over the configuration spaces.
Keywords
Cite
@article{arxiv.2410.23847,
title = {Finite difference calculus in the continuum},
author = {Dmitri Finkelshtein and Yuri Kondratiev and Eugene Lytvynov and Maria Joao Oliveira},
journal= {arXiv preprint arXiv:2410.23847},
year = {2025}
}