Integral Representation of Invariant Functions |
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| Authors: | Hinssen J. Janssen K. |
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| Affiliation: | (1) Mathematisches Institut, Heinrich-Heine-Universität Düsseldorf, Universitätsstr. 1, D-40225 Düsseldorf, Germany |
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| Abstract: | We characterize those positive functions which are invariant for a bounded kernel, and which have a Choquet-type integral representation. Such a representation relies on the wellknown Choquet-type integral representation of measures which are invariant for a kernel. We apply our results to convolution kernels with spread-out measures on second countable locally compact Abelian groups. |
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| Keywords: | Invariant functions Choquet-type integral representation extreme point Choquet's Theorem. |
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