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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.)

Positive definite matrix functions on spheres defined by hypergeometric functions

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Author(s):
Guella, J. C. [1] ; Menegatto, V. A. [1]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, ICMC, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS; v. 30, n. 10 MAY 2019.
Web of Science Citations: 0
Abstract

Positive definite matrix functions on spheres arise naturally in multivariate approximation and spatial statistics. The construction of strictly positive definite models has become one of the most important goals for the analysis and study of vector valued random fields on spheres. This paper derives strictly positive definite models based on hypergeometric functions. In statistical nomenclature, it describes strictly positive definite covariance functions of stationary, isotropic and mean square continuous Gaussian vector random fields on spheres in which the isotropic part of the covariance functions are set through hypergeometric functions. (AU)

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