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

The main aim of the paper is to prove still another version of the Lvy--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.