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Decomposition of conditionally positive definite functions on commutative hypergroups

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Abstract

In this paper we consider bounded, conditionally positive definite functions on commutative hypergroups. We show an integral representation that allows to decompose conditionally positive definite functions as differences of positive definite functions.

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Authors and Affiliations

  1. Institute for Mathematical Stochastics, Technische Universität Dresden, 01062, Dresden, Germany

    Georg Berschneider

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  1. Georg Berschneider
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Correspondence to Georg Berschneider.

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Communicated by Karlheinz Gröchenig.

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Berschneider, G. Decomposition of conditionally positive definite functions on commutative hypergroups. Monatsh Math 166, 329–340 (2012). https://doi.org/10.1007/s00605-011-0310-8

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  • DOI: https://doi.org/10.1007/s00605-011-0310-8

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