Relations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions

Pier Giovanni Bissiri ; Valdir A. Menegatto ; Emilio Porcu

Symmetry, integrability and geometry: methods and applications, Tome 15 (2019)

Résumé

Positive definite functions on spheres have received an increasing interest in many branches of mathematics and statistics. In particular, the Schoenberg sequences in the spectral representation of positive definite functions have been studied by several mathematicians in the last years. This paper provides a set of relations between Schoenberg sequences defined over real as well as complex spheres of different dimensions. We illustrate our findings describing an application to strict positive definiteness.

Détail

Keywords: positive definite; Schoenberg pair; spheres; strictly positive definite.

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