arXiv:math/0608139 Abstract

arXiv:math/0608139 [math.FA]Abstract References Reviews Resources

Uniform measures and convolution on topological groups

Published 2006-08-06, updated 2010-05-14Version 4

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.

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

Categories: math.FA, math.GN

Subjects: 22A10, 28A33, 46E27

Keywords: uniform measures, convolution, arbitrary topological group, functionals, bounded uniformly equicontinuous set

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