Uniform measures and convolution on topological groups
Functional Analysis
2010-05-17 v4 General Topology
Abstract
Uniform measures are the functionals on the space of bounded uniformly continuous functions that are continuous on every bounded uniformly equicontinuous set. This paper describes the role of uniform measures in the study of convolution on an arbitrary topological group.
Cite
@article{arxiv.math/0608139,
title = {Uniform measures and convolution on topological groups},
author = {Jan Pachl},
journal= {arXiv preprint arXiv:math/0608139},
year = {2010}
}
Comments
LaTeX, 21 pages. Version 2 includes a new section dealing with completions and compactifications, and minor edits and updates. Version 3 corrects Theorem 5.3. Version 4 corrects an entry in the list of references