On a Theorem of T. Gneiting on α-Symmetric Multivariate Characteristic Functions |
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Authors: | Wolfgang zu Castell |
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Affiliation: | University of Erlangen–Nuremberg, Erlangen, Germanyf1 |
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Abstract: | T. Gneiting (1998, J. Multivariate Analysis64, 131–147) proved a relation between the primitives of the classes Φd(2) and Φd(1) of 2- and 1-symmetric characteristic functions on d, respectively. We will give a straightforward proof of his relation, answering a question of his. To do this we use the calculus of generalized hypergeometric functions. |
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Keywords: | generalized hypergeometric functions, α -symmetric characteristic functions, norm-dependent positive definite functions |
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