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

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dc.contributor.authorBissiri, P.G.
dc.contributor.authorMenegatto, V.A.
dc.contributor.authorPorcu, E.
dc.date.accessioned2025-12-02T09:38:51Z
dc.date.issued2019
dc.description.abstractPositive definite functions on spheres have received 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 recent 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 by describing an application to strict positive definiteness.
dc.description.sponsorshipThe authors are grateful to the Associate Editor and to the referees for their comments that allowed for an improved version of the manuscript. Research of Valdir A. Menegatto was partially supported by FAPESP, grant 2016/09906-0. Emilio Porcu is partially supported by grant FONDECYT 1130647 from the Chilean Ministry of Education, and by Millennium Science Initiative of the Ministry of Economy, Development, and Tourism, grant "Millennium Nucleus Center for the Discovery of Structures in Complex Data".
dc.identifier.citationRelations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions / P.G. Bissiri, V.A. Menegatto, E. Porcu // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 44 назв. — англ.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2019.004
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 33C45; 42A16; 42A82; 42C10
dc.identifier.otherarXiv: 1807.08184
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/210071
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleRelations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2019, том 15, випуск за цей рік