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On the Lévy-Khintchine decomposition of conditionally positive definite functions

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Summary

The main aim of the paper is to prove still another version of the Lévy--Khintchine decomposition of conditionally positive definite functions on a general locally compact Abelian group. The exposition is based on the two-cones theorem proved by N. Drumm in 1976. Application of the main result to the Euclidean group shows the novelty of the approach.

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  1. Mathematisches Institut der Universität, Auf der Morgenstelle 10, Block C, 72076 Tübingen, Germany

    Herbert Heyer

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  1. Herbert Heyer
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Heyer, H. On the Lévy-Khintchine decomposition of conditionally positive definite functions. Period Math Hung 52, 19–40 (2006). https://doi.org/10.1007/s10998-006-0003-6

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  • DOI: https://doi.org/10.1007/s10998-006-0003-6