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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.)

Strictly positive definite kernels on a product of circles

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Author(s):
Guella, J. C. ; Menegatto, V. A. ; Peron, A. P.
Total Authors: 3
Document type: Journal article
Source: POSITIVITY; v. 21, n. 1, p. 329-342, MAR 2017.
Web of Science Citations: 10
Abstract

We supply a Fourier characterization for the real, continuous, isotropic and strictly positive definite kernels on a product of circles. In other words, if is the unit circle in , is the usual inner product of and f is a real continuous function on , we determine necessary and sufficient conditions in order that be a strictly positive definite kernel on . (AU)

FAPESP's process: 12/22161-3 - Strictly positive definite kernels on the sphere: an analysis of the recent results.
Grantee:Jean Carlo Guella
Support Opportunities: Scholarships in Brazil - Master
FAPESP's process: 14/25796-5 - (Strict) positive definite functions and differentiability
Grantee:Ana Paula Peron
Support Opportunities: Regular Research Grants
FAPESP's process: 14/00277-5 - Positive definite kernels and integral operators generated by them
Grantee:Valdir Antonio Menegatto
Support Opportunities: Regular Research Grants