Function spaces on formal manifolds
Functional Analysis
2024-07-15 v1
Abstract
This is a paper in a series that studies smooth relative Lie algebra homologies and cohomologies based on the theory of formal manifolds and formal Lie groups. In a previous paper, we introduce the notion of formal manifolds and develop the foundational framework of formal manifolds. In this paper, we study various function spaces on formal manifolds, including generalizations of vector-valued generalized functions and vector-valued distributions on smooth manifolds to the setting of formal manifolds.
Cite
@article{arxiv.2407.09329,
title = {Function spaces on formal manifolds},
author = {Fulin Chen and Binyong Sun and Chuyun Wang},
journal= {arXiv preprint arXiv:2407.09329},
year = {2024}
}
Comments
The preprint arXiv:2401.01535v1 of ours was split into three separate papers. This is the second paper about vector-valued generalized functions and vector-valued distributions