Function spaces on formal manifolds

Fuente: arXiv
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Autores principales: Chen, Fulin, Sun, Binyong, Wang, Chuyun
Formato: Preprint
Publicado: 2024
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author Chen, Fulin
Sun, Binyong
Wang, Chuyun
author_facet Chen, Fulin
Sun, Binyong
Wang, Chuyun
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_09329
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Function spaces on formal manifolds
Chen, Fulin
Sun, Binyong
Wang, Chuyun
Functional Analysis
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.
title Function spaces on formal manifolds
topic Functional Analysis
url https://arxiv.org/abs/2407.09329