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

Autor(es)

Bissiri, Pier Giovanni ^[1] ; Menegatto, Valdir A. ^[2] ; Porcu, Emilio ^{[1, 3]}

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Symmetry Integrability and Geometry-Methods and Applications; v. 15, 2019.
• Citações Web of Science: 1

Resumo

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)

• Processo FAPESP: 16/09906-0 - Análise harmônica, teoria da aproximação, funções especiais e aplicações
• Beneficiário: Dimitar Kolev Dimitrov
• Modalidade de apoio: Auxílio à Pesquisa - Temático