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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Hinssen, J., Janssen, K. Integral Representation of Invariant Functions. Potential Analysis 10, 27–53 (1999). https://doi.org/10.1023/A:1008660100254
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DOI: https://doi.org/10.1023/A:1008660100254