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.
Bissiri P.G., Menegatto V.A., Porcu E. (2019). Relations between schoenberg coefficients on real and complex spheres of different dimensions. SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS, 15, 1-12 [10.3842/SIGMA.2019.004].
Relations between schoenberg coefficients on real and complex spheres of different dimensions
Bissiri P. G.;
2019
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
