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Relations between schoenberg coefficients on real and complex spheres of different dimensions

Lookup NU author(s): Dr Pier Giovanni Bissiri, Professor Emilio Porcu

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Abstract

© 2019, Institute of Mathematics. All rights reserved.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.

Publication metadata

Author(s): Bissiri PG, Menegatto VA, Porcu E

Publication type: Article

Publication status: Published

Journal: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Year: 2019

Volume: 15

Online publication date: 23/01/2019

Acceptance date: 18/01/2019

Date deposited: 22/07/2019

ISSN (electronic): 1815-0659

Publisher: Institute of Mathematics

URL: https://doi.org/10.3842/SIGMA.2019.004

DOI: 10.3842/SIGMA.2019.004

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