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

Bissiri, Pier Giovanni; Menegatto, Valdir A.; Porcu, Emilio

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):	Bissiri, Pier Giovanni ^[1] ; Menegatto, Valdir A. ^[2] ; Porcu, Emilio ^{[1, 3]} Total Authors: 3
Affiliation:	^[1] Newcastle Univ, Sch Math & Stat, Newcastle Upon Tyne NE1 7RU, Tyne & Wear - England ^[2] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil ^[3] Univ Atacama, Dept Math, Copiapo - Chile Total Affiliations: 3
Document type:	Journal article
Source:	Symmetry Integrability and Geometry-Methods and Applications; v. 15, 2019.
Web of Science Citations:	1
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. (AU)

FAPESP's process:	16/09906-0 - Harmonic analysis, approximation theory and applications
Grantee:	Dimitar Kolev Dimitrov
Support Opportunities:	Research Projects - Thematic Grants

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