The convolution of Radon measures. (English) Zbl 0691.43001
Summary: The convolution of a pair of bounded Radon measures is extended to Čech-complete topological semigroups with separately continuous multiplication.
MSC:
| 43A05 | Measures on groups and semigroups, etc. |
| 28C05 | Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures |
| 46E15 | Banach spaces of continuous, differentiable or analytic functions |
| 22A15 | Structure of topological semigroups |
References:
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| [3] | Irving Glicksberg, Weak compactness and separate continuity, Pacific J. Math. 11 (1961), 205 – 214. · Zbl 0104.33901 |
| [4] | Rudolf A. Hirschfeld, On measures in completely regular spaces, Bull. Soc. Math. Belg. 24 (1972), 275 – 287. · Zbl 0277.46045 |
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