Uniform measures and convolution on topological groups

Mathematics – Functional Analysis

Scientific paper

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LaTeX, 21 pages. Version 2 includes a new section dealing with completions and compactifications, and minor edits and updates.

Scientific paper

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.

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