J. Aust. Math. Soc.  79 (2005), 25-37

Negative definite and Schoenberg functions on commutative hypergroups

Walter R. Bloom   Division of Science and Engineering   Murdoch University   Perth, WA 6150   Australia   w.bloom@murdoch.edu.au and Paul Ressel   Mathematisch-Geographische Fakultät   Katholische Universität Eichstätt   85072 Eichstätt   Germany   paul.ressel@ku-eichstaett.de

Abstract

In this paper we investigate when negative definite functions on commutative hypergroups satisfy the Schoenberg criterion.

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